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Finding the Fourth Proportional to 478,304.24, 717,557.56 and 158,438

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Solution

The fourth proportional to 478,304.24, 717,557.56 and 158,438 is: 237,690.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,304.24 : 717,557.56 = 158,438 : x
  2. Step 2: Convert to fraction form
    478,304.24/717,557.56 = 158,438/x
  3. Step 3: Cross multiply
    478,304.24x = 717,557.56 × 158,438
  4. Step 4: Simplify right side
    478,304.24x = 113,688,384,691.28
  5. Step 5: Solve for x
    x = 113,688,384,691.28/478,304.24
  6. Step 6: Final answer
    x = 237,690.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.