When Joanna purchased 4 times the number of gumballs she initially had, she added 40*4 = <<4*40=160>>160 gumballs to her dish.
The total number of gumballs Joanna had in her dish after buying 160 more is 160+40 = <<160+40=200>>200
At the same time, Jacques bought 60*4 = <<60*4=240>>240 new gumballs.
When Jacques added his new 240 gumballs to his dish, the total number of gumballs increased to 240+60 = <<240+60=300>>300 gumballs.
When they decided to put together their gumballs, they had 300+200 = <<300+200=500>>500 gumballs altogether.
After sharing equally, each person got 500/2 = <<500/2=250>>250 gumballs.
#### 250