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Finding the Fourth Proportional to 259,744.40, 389,616.60 and 82,305.80

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Solution

The fourth proportional to 259,744.40, 389,616.60 and 82,305.80 is: 123,458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,744.40 : 389,616.60 = 82,305.80 : x
  2. Step 2: Convert to fraction form
    259,744.40/389,616.60 = 82,305.80/x
  3. Step 3: Cross multiply
    259,744.40x = 389,616.60 × 82,305.80
  4. Step 4: Simplify right side
    259,744.40x = 32,067,705,956.28
  5. Step 5: Solve for x
    x = 32,067,705,956.28/259,744.40
  6. Step 6: Final answer
    x = 123,458.70

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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.