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Finding the Fourth Proportional to 259,504.70, 389,269.20 and 82,025.60

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Solution

The fourth proportional to 259,504.70, 389,269.20 and 82,025.60 is: 123,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,504.70 : 389,269.20 = 82,025.60 : x
  2. Step 2: Convert to fraction form
    259,504.70/389,269.20 = 82,025.60/x
  3. Step 3: Cross multiply
    259,504.70x = 389,269.20 × 82,025.60
  4. Step 4: Simplify right side
    259,504.70x = 31,930,039,691.52
  5. Step 5: Solve for x
    x = 31,930,039,691.52/259,504.70
  6. Step 6: Final answer
    x = 123,042.24

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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.