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Finding the Fourth Proportional to 458,542.60, 687,911.10 and 138,668.20

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Solution

The fourth proportional to 458,542.60, 687,911.10 and 138,668.20 is: 208,031.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,542.60 : 687,911.10 = 138,668.20 : x
  2. Step 2: Convert to fraction form
    458,542.60/687,911.10 = 138,668.20/x
  3. Step 3: Cross multiply
    458,542.60x = 687,911.10 × 138,668.20
  4. Step 4: Simplify right side
    458,542.60x = 95,391,393,997.02
  5. Step 5: Solve for x
    x = 95,391,393,997.02/458,542.60
  6. Step 6: Final answer
    x = 208,031.69

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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.