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Finding the Fourth Proportional to 392,456.25, 588,772.17 and 143,138.25

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Solution

The fourth proportional to 392,456.25, 588,772.17 and 143,138.25 is: 214,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,456.25 : 588,772.17 = 143,138.25 : x
  2. Step 2: Convert to fraction form
    392,456.25/588,772.17 = 143,138.25/x
  3. Step 3: Cross multiply
    392,456.25x = 588,772.17 × 143,138.25
  4. Step 4: Simplify right side
    392,456.25x = 84,275,818,062.50
  5. Step 5: Solve for x
    x = 84,275,818,062.50/392,456.25
  6. Step 6: Final answer
    x = 214,739.40

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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.