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Finding the Fourth Proportional to 256,834.32, 385,155.68 and 88,306.96

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Solution

The fourth proportional to 256,834.32, 385,155.68 and 88,306.96 is: 132,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,834.32 : 385,155.68 = 88,306.96 : x
  2. Step 2: Convert to fraction form
    256,834.32/385,155.68 = 88,306.96/x
  3. Step 3: Cross multiply
    256,834.32x = 385,155.68 × 88,306.96
  4. Step 4: Simplify right side
    256,834.32x = 34,011,927,227.53
  5. Step 5: Solve for x
    x = 34,011,927,227.53/256,834.32
  6. Step 6: Final answer
    x = 132,427.50

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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.