The ratio of men to women in a certain factory is 3 to 4 there are 210 men how many workers are there?

If the ratio of men to women is 3 to 4, then for every 3 men, there are 4 women. Given that there are 210 men, we can set up a proportion: ( \frac{3}{4} = \frac{210}{w} ), where ( w ) is the number of women. Solving for ( w ) gives ( w = \frac{4}{3} \times 210 = 280 ). Therefore, the total number of workers in the factory is ( 210 + 280 = 490 ).