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Finding the Fourth Proportional to 327,358.90, 491,059.11 and 102,728.20

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Solution

The fourth proportional to 327,358.90, 491,059.11 and 102,728.20 is: 154,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,358.90 : 491,059.11 = 102,728.20 : x
  2. Step 2: Convert to fraction form
    327,358.90/491,059.11 = 102,728.20/x
  3. Step 3: Cross multiply
    327,358.90x = 491,059.11 × 102,728.20
  4. Step 4: Simplify right side
    327,358.90x = 50,445,615,494.97
  5. Step 5: Solve for x
    x = 50,445,615,494.97/327,358.90
  6. Step 6: Final answer
    x = 154,098.81

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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.