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Finding the Fourth Proportional to 510,008,532.80, 763,737,340.80 and 407,971,860.80

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Solution

The fourth proportional to 510,008,532.80, 763,737,340.80 and 407,971,860.80 is: 610,937,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,008,532.80 : 763,737,340.80 = 407,971,860.80 : x
  2. Step 2: Convert to fraction form
    510,008,532.80/763,737,340.80 = 407,971,860.80/x
  3. Step 3: Cross multiply
    510,008,532.80x = 763,737,340.80 × 407,971,860.80
  4. Step 4: Simplify right side
    510,008,532.80x = 311,583,344,088,619,776
  5. Step 5: Solve for x
    x = 311,583,344,088,619,776/510,008,532.80
  6. Step 6: Final answer
    x = 610,937,511.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.