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Finding the Fourth Proportional to 259,864.92, 389,811.24 and 82,385.82

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Solution

The fourth proportional to 259,864.92, 389,811.24 and 82,385.82 is: 123,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,864.92 : 389,811.24 = 82,385.82 : x
  2. Step 2: Convert to fraction form
    259,864.92/389,811.24 = 82,385.82/x
  3. Step 3: Cross multiply
    259,864.92x = 389,811.24 × 82,385.82
  4. Step 4: Simplify right side
    259,864.92x = 32,114,918,652.62
  5. Step 5: Solve for x
    x = 32,114,918,652.62/259,864.92
  6. Step 6: Final answer
    x = 123,583.12

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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.