I never use that formula to increase joint spacing, in fact I can't remember a time where I have tried to increase joint spacing beyond 3 times the slab thickness (in feet, 3x6" slab = 18' joint spacing). This is especially true for something like a sog in a fire station where we really care what it looks like in service. Since I work out my joint spacing based on plain concrete, WWF is typically not needed, so it's not worth the money, so I don't spec it.
If you do want to increase joint spacing, I recommend looking at Concrete Floor Slabs on Grade Subject to Heavy Loads by the Corps. of Engineers (Army TM 5-809-12) that you can download for free from thier website. It has a procedure for using rebar to reduce slab thickness, and if I remember right for increasing joint spacing. I only use reinforcing in a sog if I have a calculated reason for it, like if I am limited to a certain thickness and that thickness of plain concrete isn't strong enough. Then I use rebar according to the above reference. It is much more likely that rebar will end up where you want it.
another good reference for designing sog's is Designing Floor Slabs on Grade by Ringo and Anderson. I strongly recommend it.
Another observation I have is that it seems that no 2 engineers design/detail their sogs the same way, we seem to all have our prefered ways for doing it, and that's fine. My suggestions are based on what I have found to work, but their are other ways to make it work too. I think the most important factor to a successful sog is to see the big picture, and not to focus on one particular thing to the exclusion of others. You need a good low shrinkage mix, proper subgrade and subbase, and good jointing design. Beyond your control, but critically important is a contractor who follows good construction practice. The sog has to be finished properly, cut at the proper time, and properly cured.