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Finding the Fourth Proportional to 272,385.72, 408,644.28 and 85,397.28

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Solution

The fourth proportional to 272,385.72, 408,644.28 and 85,397.28 is: 128,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,385.72 : 408,644.28 = 85,397.28 : x
  2. Step 2: Convert to fraction form
    272,385.72/408,644.28 = 85,397.28/x
  3. Step 3: Cross multiply
    272,385.72x = 408,644.28 × 85,397.28
  4. Step 4: Simplify right side
    272,385.72x = 34,897,109,999.56
  5. Step 5: Solve for x
    x = 34,897,109,999.56/272,385.72
  6. Step 6: Final answer
    x = 128,116.52

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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.