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Finding the Fourth Proportional to 499,282.38, 688,972.43 and 284,380.47

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Solution

The fourth proportional to 499,282.38, 688,972.43 and 284,380.47 is: 392,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,282.38 : 688,972.43 = 284,380.47 : x
  2. Step 2: Convert to fraction form
    499,282.38/688,972.43 = 284,380.47/x
  3. Step 3: Cross multiply
    499,282.38x = 688,972.43 × 284,380.47
  4. Step 4: Simplify right side
    499,282.38x = 195,930,304,171.39
  5. Step 5: Solve for x
    x = 195,930,304,171.39/499,282.38
  6. Step 6: Final answer
    x = 392,423.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.