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Finding the Fourth Proportional to 442,859.57, 664,394.81 and 143,340.20

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Solution

The fourth proportional to 442,859.57, 664,394.81 and 143,340.20 is: 215,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,859.57 : 664,394.81 = 143,340.20 : x
  2. Step 2: Convert to fraction form
    442,859.57/664,394.81 = 143,340.20/x
  3. Step 3: Cross multiply
    442,859.57x = 664,394.81 × 143,340.20
  4. Step 4: Simplify right side
    442,859.57x = 95,234,483,397.17
  5. Step 5: Solve for x
    x = 95,234,483,397.17/442,859.57
  6. Step 6: Final answer
    x = 215,044.43

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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.