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Finding the Fourth Proportional to 327,914.71, 491,872.17 and 253,144.02

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Solution

The fourth proportional to 327,914.71, 491,872.17 and 253,144.02 is: 379,716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,914.71 : 491,872.17 = 253,144.02 : x
  2. Step 2: Convert to fraction form
    327,914.71/491,872.17 = 253,144.02/x
  3. Step 3: Cross multiply
    327,914.71x = 491,872.17 × 253,144.02
  4. Step 4: Simplify right side
    327,914.71x = 124,514,497,754.99
  5. Step 5: Solve for x
    x = 124,514,497,754.99/327,914.71
  6. Step 6: Final answer
    x = 379,716.11

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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.