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Finding the Fourth Proportional to 327,412, 491,194.20 and 102,760.12

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Solution

The fourth proportional to 327,412, 491,194.20 and 102,760.12 is: 154,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,412 : 491,194.20 = 102,760.12 : x
  2. Step 2: Convert to fraction form
    327,412/491,194.20 = 102,760.12/x
  3. Step 3: Cross multiply
    327,412x = 491,194.20 × 102,760.12
  4. Step 4: Simplify right side
    327,412x = 50,475,174,935.30
  5. Step 5: Solve for x
    x = 50,475,174,935.30/327,412
  6. Step 6: Final answer
    x = 154,164.10

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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.