Finding the Fourth Proportional to 1,340,854,474.20, 2,011,366,727.28 and 420,767,127.96
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Solution
The fourth proportional to 1,340,854,474.20, 2,011,366,727.28 and 420,767,127.96 is: 631,177,370.40
Step by Step Solution
- Step 1: Write the proportion equation
1,340,854,474.20 : 2,011,366,727.28 = 420,767,127.96 : x - Step 2: Convert to fraction form
1,340,854,474.20/2,011,366,727.28 = 420,767,127.96/x - Step 3: Cross multiply
1,340,854,474.20x = 2,011,366,727.28 × 420,767,127.96 - Step 4: Simplify right side
1,340,854,474.20x = 846,317,001,111,910,144 - Step 5: Solve for x
x = 846,317,001,111,910,144/1,340,854,474.20 - Step 6: Final answer
x = 631,177,370.40
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.