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Finding the Fourth Proportional to 327,349.70, 491,144.49 and 137,857.76

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Solution

The fourth proportional to 327,349.70, 491,144.49 and 137,857.76 is: 206,837.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,349.70 : 491,144.49 = 137,857.76 : x
  2. Step 2: Convert to fraction form
    327,349.70/491,144.49 = 137,857.76/x
  3. Step 3: Cross multiply
    327,349.70x = 491,144.49 × 137,857.76
  4. Step 4: Simplify right side
    327,349.70x = 67,708,080,988.77
  5. Step 5: Solve for x
    x = 67,708,080,988.77/327,349.70
  6. Step 6: Final answer
    x = 206,837.16

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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.