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Finding the Fourth Proportional to 442,190.92, 663,123.18 and 157,805.38

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Solution

The fourth proportional to 442,190.92, 663,123.18 and 157,805.38 is: 236,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,190.92 : 663,123.18 = 157,805.38 : x
  2. Step 2: Convert to fraction form
    442,190.92/663,123.18 = 157,805.38/x
  3. Step 3: Cross multiply
    442,190.92x = 663,123.18 × 157,805.38
  4. Step 4: Simplify right side
    442,190.92x = 104,644,405,406.71
  5. Step 5: Solve for x
    x = 104,644,405,406.71/442,190.92
  6. Step 6: Final answer
    x = 236,649.83

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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.