At the end of trading session three businessmen peter,John and Thomas shared a net profit of kshs.620,000 such that peter got 3 1/2 times as much as John while John got 1 1/2 times as Thomas. Calculate the amount of money that peter got over John

John received $1.5$ times what Thomas received:

$$\text{John's amount} = 1.5x = \frac{3}{2}x.$$

Peter received $3.5$ times what John received:

$$\text{Peter's amount} = 3.5 \times \frac{3}{2}x = \frac{21}{4}x.$$

The total profit shared among Peter, John, and Thomas is $620,000$:

$$\text{Peter's amount} + \text{John's amount} + \text{Thomas's amount} = 620,000.$$

Substituting the expressions we found:

$$\frac{21}{4}x + \frac{3}{2}x + x = 620,000.$$

$$\frac{21}{4}x + \frac{6}{4}x + \frac{4}{4}x = 620,000.$$

Combine the fractions:

$$\frac{31}{4}x = 620,000.$$

$$31x = 620,000 \times 4,$$ $$31x = 2,480,000,$$ $$x = \frac{2,480,000}{31} \approx 80,000.$$

• John's amount:

$$\text{John's amount} = 1.5x = 1.5 \times 80,000 = 120,000.$$

• Peter's amount:

$$\text{Peter's amount} = 3.5 \times 120,000 = 420,000.$$

$$\text{Difference} = \text{Peter's amount} - \text{John's amount} = 420,000 - 120,000 = 300,000.$$

Final answer:
Peter got $\boxed{300,000}$ more than John.