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Finding the Fourth Proportional to 442,757.80, 664,065.42 and 127,142.92

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Solution

The fourth proportional to 442,757.80, 664,065.42 and 127,142.92 is: 190,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,757.80 : 664,065.42 = 127,142.92 : x
  2. Step 2: Convert to fraction form
    442,757.80/664,065.42 = 127,142.92/x
  3. Step 3: Cross multiply
    442,757.80x = 664,065.42 × 127,142.92
  4. Step 4: Simplify right side
    442,757.80x = 84,431,216,569.83
  5. Step 5: Solve for x
    x = 84,431,216,569.83/442,757.80
  6. Step 6: Final answer
    x = 190,693.91

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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.