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Finding the Fourth Proportional to 498,047.62, 687,304.28 and 271,691.50

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Solution

The fourth proportional to 498,047.62, 687,304.28 and 271,691.50 is: 374,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,047.62 : 687,304.28 = 271,691.50 : x
  2. Step 2: Convert to fraction form
    498,047.62/687,304.28 = 271,691.50/x
  3. Step 3: Cross multiply
    498,047.62x = 687,304.28 × 271,691.50
  4. Step 4: Simplify right side
    498,047.62x = 186,734,730,789.62
  5. Step 5: Solve for x
    x = 186,734,730,789.62/498,047.62
  6. Step 6: Final answer
    x = 374,933.49

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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.