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Finding the Fourth Proportional to 256,814.31, 385,122.24 and 88,302.72

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Solution

The fourth proportional to 256,814.31, 385,122.24 and 88,302.72 is: 132,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,814.31 : 385,122.24 = 88,302.72 : x
  2. Step 2: Convert to fraction form
    256,814.31/385,122.24 = 88,302.72/x
  3. Step 3: Cross multiply
    256,814.31x = 385,122.24 × 88,302.72
  4. Step 4: Simplify right side
    256,814.31x = 34,007,341,324.49
  5. Step 5: Solve for x
    x = 34,007,341,324.49/256,814.31
  6. Step 6: Final answer
    x = 132,419.96

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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.