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Finding the Fourth Proportional to 317,906.92, 438,753.56 and 205,057.72

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Solution

The fourth proportional to 317,906.92, 438,753.56 and 205,057.72 is: 283,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,906.92 : 438,753.56 = 205,057.72 : x
  2. Step 2: Convert to fraction form
    317,906.92/438,753.56 = 205,057.72/x
  3. Step 3: Cross multiply
    317,906.92x = 438,753.56 × 205,057.72
  4. Step 4: Simplify right side
    317,906.92x = 89,969,804,655.48
  5. Step 5: Solve for x
    x = 89,969,804,655.48/317,906.92
  6. Step 6: Final answer
    x = 283,006.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.