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Finding the Fourth Proportional to 218,472.94, 327,404.76 and 165,121.12

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Solution

The fourth proportional to 218,472.94, 327,404.76 and 165,121.12 is: 247,451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,472.94 : 327,404.76 = 165,121.12 : x
  2. Step 2: Convert to fraction form
    218,472.94/327,404.76 = 165,121.12/x
  3. Step 3: Cross multiply
    218,472.94x = 327,404.76 × 165,121.12
  4. Step 4: Simplify right side
    218,472.94x = 54,061,440,664.53
  5. Step 5: Solve for x
    x = 54,061,440,664.53/218,472.94
  6. Step 6: Final answer
    x = 247,451.43

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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.