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Finding the Fourth Proportional to 288,287.54, 432,472.64 and 88,624.66

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Solution

The fourth proportional to 288,287.54, 432,472.64 and 88,624.66 is: 132,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,287.54 : 432,472.64 = 88,624.66 : x
  2. Step 2: Convert to fraction form
    288,287.54/432,472.64 = 88,624.66/x
  3. Step 3: Cross multiply
    288,287.54x = 432,472.64 × 88,624.66
  4. Step 4: Simplify right side
    288,287.54x = 38,327,740,679.30
  5. Step 5: Solve for x
    x = 38,327,740,679.30/288,287.54
  6. Step 6: Final answer
    x = 132,949.70

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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.