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Finding the Fourth Proportional to 327,514.60, 491,531.10 and 127,930.60

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Solution

The fourth proportional to 327,514.60, 491,531.10 and 127,930.60 is: 191,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,514.60 : 491,531.10 = 127,930.60 : x
  2. Step 2: Convert to fraction form
    327,514.60/491,531.10 = 127,930.60/x
  3. Step 3: Cross multiply
    327,514.60x = 491,531.10 × 127,930.60
  4. Step 4: Simplify right side
    327,514.60x = 62,881,868,541.66
  5. Step 5: Solve for x
    x = 62,881,868,541.66/327,514.60
  6. Step 6: Final answer
    x = 191,997.15

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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.