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Finding the Fourth Proportional to 259,838.85, 389,769.21 and 82,352.88

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Solution

The fourth proportional to 259,838.85, 389,769.21 and 82,352.88 is: 123,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,838.85 : 389,769.21 = 82,352.88 : x
  2. Step 2: Convert to fraction form
    259,838.85/389,769.21 = 82,352.88/x
  3. Step 3: Cross multiply
    259,838.85x = 389,769.21 × 82,352.88
  4. Step 4: Simplify right side
    259,838.85x = 32,098,616,978.82
  5. Step 5: Solve for x
    x = 32,098,616,978.82/259,838.85
  6. Step 6: Final answer
    x = 123,532.79

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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.