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Finding the Fourth Proportional to 259,738.80, 389,608.20 and 82,259.70

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Solution

The fourth proportional to 259,738.80, 389,608.20 and 82,259.70 is: 123,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,738.80 : 389,608.20 = 82,259.70 : x
  2. Step 2: Convert to fraction form
    259,738.80/389,608.20 = 82,259.70/x
  3. Step 3: Cross multiply
    259,738.80x = 389,608.20 × 82,259.70
  4. Step 4: Simplify right side
    259,738.80x = 32,049,053,649.54
  5. Step 5: Solve for x
    x = 32,049,053,649.54/259,738.80
  6. Step 6: Final answer
    x = 123,389.55

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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.