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Finding the Fourth Proportional to 257,945.92, 386,724 and 169,221.76

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Solution

The fourth proportional to 257,945.92, 386,724 and 169,221.76 is: 253,704.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,945.92 : 386,724 = 169,221.76 : x
  2. Step 2: Convert to fraction form
    257,945.92/386,724 = 169,221.76/x
  3. Step 3: Cross multiply
    257,945.92x = 386,724 × 169,221.76
  4. Step 4: Simplify right side
    257,945.92x = 65,442,115,914.24
  5. Step 5: Solve for x
    x = 65,442,115,914.24/257,945.92
  6. Step 6: Final answer
    x = 253,704.79

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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.