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Finding the Fourth Proportional to 259,800.25, 389,711.73 and 82,320.34

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Solution

The fourth proportional to 259,800.25, 389,711.73 and 82,320.34 is: 123,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,800.25 : 389,711.73 = 82,320.34 : x
  2. Step 2: Convert to fraction form
    259,800.25/389,711.73 = 82,320.34/x
  3. Step 3: Cross multiply
    259,800.25x = 389,711.73 × 82,320.34
  4. Step 4: Simplify right side
    259,800.25x = 32,081,202,115.59
  5. Step 5: Solve for x
    x = 32,081,202,115.59/259,800.25
  6. Step 6: Final answer
    x = 123,484.11

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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.