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Finding the Fourth Proportional to 384,308.80, 576,463.20 and 272,115.70

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Solution

The fourth proportional to 384,308.80, 576,463.20 and 272,115.70 is: 408,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,308.80 : 576,463.20 = 272,115.70 : x
  2. Step 2: Convert to fraction form
    384,308.80/576,463.20 = 272,115.70/x
  3. Step 3: Cross multiply
    384,308.80x = 576,463.20 × 272,115.70
  4. Step 4: Simplify right side
    384,308.80x = 156,864,687,192.24
  5. Step 5: Solve for x
    x = 156,864,687,192.24/384,308.80
  6. Step 6: Final answer
    x = 408,173.55

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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.