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Finding the Fourth Proportional to 498,397.28, 687,764.28 and 283,517.20

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Solution

The fourth proportional to 498,397.28, 687,764.28 and 283,517.20 is: 391,240.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,397.28 : 687,764.28 = 283,517.20 : x
  2. Step 2: Convert to fraction form
    498,397.28/687,764.28 = 283,517.20/x
  3. Step 3: Cross multiply
    498,397.28x = 687,764.28 × 283,517.20
  4. Step 4: Simplify right side
    498,397.28x = 194,993,002,925.62
  5. Step 5: Solve for x
    x = 194,993,002,925.62/498,397.28
  6. Step 6: Final answer
    x = 391,240.10

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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.