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Finding the Fourth Proportional to 442,757.30, 664,064.67 and 127,142.42

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Solution

The fourth proportional to 442,757.30, 664,064.67 and 127,142.42 is: 190,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,757.30 : 664,064.67 = 127,142.42 : x
  2. Step 2: Convert to fraction form
    442,757.30/664,064.67 = 127,142.42/x
  3. Step 3: Cross multiply
    442,757.30x = 664,064.67 × 127,142.42
  4. Step 4: Simplify right side
    442,757.30x = 84,430,789,180.30
  5. Step 5: Solve for x
    x = 84,430,789,180.30/442,757.30
  6. Step 6: Final answer
    x = 190,693.16

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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.