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Finding the Fourth Proportional to 482,687.20, 724,065.42 and 127,697

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Solution

The fourth proportional to 482,687.20, 724,065.42 and 127,697 is: 191,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,687.20 : 724,065.42 = 127,697 : x
  2. Step 2: Convert to fraction form
    482,687.20/724,065.42 = 127,697/x
  3. Step 3: Cross multiply
    482,687.20x = 724,065.42 × 127,697
  4. Step 4: Simplify right side
    482,687.20x = 92,460,981,937.74
  5. Step 5: Solve for x
    x = 92,460,981,937.74/482,687.20
  6. Step 6: Final answer
    x = 191,554.66

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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.