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Finding the Fourth Proportional to 257,845.92, 386,769 and 80,367.24

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Solution

The fourth proportional to 257,845.92, 386,769 and 80,367.24 is: 120,550.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,845.92 : 386,769 = 80,367.24 : x
  2. Step 2: Convert to fraction form
    257,845.92/386,769 = 80,367.24/x
  3. Step 3: Cross multiply
    257,845.92x = 386,769 × 80,367.24
  4. Step 4: Simplify right side
    257,845.92x = 31,083,557,047.56
  5. Step 5: Solve for x
    x = 31,083,557,047.56/257,845.92
  6. Step 6: Final answer
    x = 120,550.90

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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.