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Finding the Fourth Proportional to 498,342.28, 687,791.10 and 316,865.02

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Solution

The fourth proportional to 498,342.28, 687,791.10 and 316,865.02 is: 437,323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,342.28 : 687,791.10 = 316,865.02 : x
  2. Step 2: Convert to fraction form
    498,342.28/687,791.10 = 316,865.02/x
  3. Step 3: Cross multiply
    498,342.28x = 687,791.10 × 316,865.02
  4. Step 4: Simplify right side
    498,342.28x = 217,936,940,657.32
  5. Step 5: Solve for x
    x = 217,936,940,657.32/498,342.28
  6. Step 6: Final answer
    x = 437,323.80

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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.