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Finding the Fourth Proportional to 521,744.90, 782,729.76 and 161,908.70

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Solution

The fourth proportional to 521,744.90, 782,729.76 and 161,908.70 is: 242,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,744.90 : 782,729.76 = 161,908.70 : x
  2. Step 2: Convert to fraction form
    521,744.90/782,729.76 = 161,908.70/x
  3. Step 3: Cross multiply
    521,744.90x = 782,729.76 × 161,908.70
  4. Step 4: Simplify right side
    521,744.90x = 126,730,757,892.91
  5. Step 5: Solve for x
    x = 126,730,757,892.91/521,744.90
  6. Step 6: Final answer
    x = 242,897.93

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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.