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Finding the Fourth Proportional to 498,341.28, 687,789.72 and 316,864.02

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Solution

The fourth proportional to 498,341.28, 687,789.72 and 316,864.02 is: 437,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,341.28 : 687,789.72 = 316,864.02 : x
  2. Step 2: Convert to fraction form
    498,341.28/687,789.72 = 316,864.02/x
  3. Step 3: Cross multiply
    498,341.28x = 687,789.72 × 316,864.02
  4. Step 4: Simplify right side
    498,341.28x = 217,935,815,593.87
  5. Step 5: Solve for x
    x = 217,935,815,593.87/498,341.28
  6. Step 6: Final answer
    x = 437,322.42

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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.