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Finding the Fourth Proportional to 259,540.80, 389,042.40 and 140,961.60

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Solution

The fourth proportional to 259,540.80, 389,042.40 and 140,961.60 is: 211,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,540.80 : 389,042.40 = 140,961.60 : x
  2. Step 2: Convert to fraction form
    259,540.80/389,042.40 = 140,961.60/x
  3. Step 3: Cross multiply
    259,540.80x = 389,042.40 × 140,961.60
  4. Step 4: Simplify right side
    259,540.80x = 54,840,039,171.84
  5. Step 5: Solve for x
    x = 54,840,039,171.84/259,540.80
  6. Step 6: Final answer
    x = 211,296.41

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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.