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Finding the Fourth Proportional to 259,630.20, 389,404.80 and 82,180.80

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Solution

The fourth proportional to 259,630.20, 389,404.80 and 82,180.80 is: 123,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,630.20 : 389,404.80 = 82,180.80 : x
  2. Step 2: Convert to fraction form
    259,630.20/389,404.80 = 82,180.80/x
  3. Step 3: Cross multiply
    259,630.20x = 389,404.80 × 82,180.80
  4. Step 4: Simplify right side
    259,630.20x = 32,001,597,987.84
  5. Step 5: Solve for x
    x = 32,001,597,987.84/259,630.20
  6. Step 6: Final answer
    x = 123,258.38

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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.