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Finding the Fourth Proportional to 263,016.40, 394,265.40 and 129,917.20

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Solution

The fourth proportional to 263,016.40, 394,265.40 and 129,917.20 is: 194,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,016.40 : 394,265.40 = 129,917.20 : x
  2. Step 2: Convert to fraction form
    263,016.40/394,265.40 = 129,917.20/x
  3. Step 3: Cross multiply
    263,016.40x = 394,265.40 × 129,917.20
  4. Step 4: Simplify right side
    263,016.40x = 51,221,856,824.88
  5. Step 5: Solve for x
    x = 51,221,856,824.88/263,016.40
  6. Step 6: Final answer
    x = 194,747.77

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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.