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Finding the Fourth Proportional to 256,472.96, 384,691.21 and 78,961.46

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Solution

The fourth proportional to 256,472.96, 384,691.21 and 78,961.46 is: 118,436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,472.96 : 384,691.21 = 78,961.46 : x
  2. Step 2: Convert to fraction form
    256,472.96/384,691.21 = 78,961.46/x
  3. Step 3: Cross multiply
    256,472.96x = 384,691.21 × 78,961.46
  4. Step 4: Simplify right side
    256,472.96x = 30,375,777,469.91
  5. Step 5: Solve for x
    x = 30,375,777,469.91/256,472.96
  6. Step 6: Final answer
    x = 118,436.57

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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.