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Finding the Fourth Proportional to 328,127.22, 491,863.78 and 138,635.30

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Solution

The fourth proportional to 328,127.22, 491,863.78 and 138,635.30 is: 207,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,127.22 : 491,863.78 = 138,635.30 : x
  2. Step 2: Convert to fraction form
    328,127.22/491,863.78 = 138,635.30/x
  3. Step 3: Cross multiply
    328,127.22x = 491,863.78 × 138,635.30
  4. Step 4: Simplify right side
    328,127.22x = 68,189,682,699.43
  5. Step 5: Solve for x
    x = 68,189,682,699.43/328,127.22
  6. Step 6: Final answer
    x = 207,814.77

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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.