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Finding the Fourth Proportional to 494,755.25, 742,131.05 and 179,138.34

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Solution

The fourth proportional to 494,755.25, 742,131.05 and 179,138.34 is: 268,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,755.25 : 742,131.05 = 179,138.34 : x
  2. Step 2: Convert to fraction form
    494,755.25/742,131.05 = 179,138.34/x
  3. Step 3: Cross multiply
    494,755.25x = 742,131.05 × 179,138.34
  4. Step 4: Simplify right side
    494,755.25x = 132,944,123,463.77
  5. Step 5: Solve for x
    x = 132,944,123,463.77/494,755.25
  6. Step 6: Final answer
    x = 268,706.85

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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.