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Finding the Fourth Proportional to 512,792.38, 769,189.16 and 133,712.78

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Solution

The fourth proportional to 512,792.38, 769,189.16 and 133,712.78 is: 200,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,792.38 : 769,189.16 = 133,712.78 : x
  2. Step 2: Convert to fraction form
    512,792.38/769,189.16 = 133,712.78/x
  3. Step 3: Cross multiply
    512,792.38x = 769,189.16 × 133,712.78
  4. Step 4: Simplify right side
    512,792.38x = 102,850,420,929.47
  5. Step 5: Solve for x
    x = 102,850,420,929.47/512,792.38
  6. Step 6: Final answer
    x = 200,569.32

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Similar ratio
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1.5x scale

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.