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Finding the Fourth Proportional to 263,231.31, 394,846.56 and 85,738.04

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Solution

The fourth proportional to 263,231.31, 394,846.56 and 85,738.04 is: 128,606.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,231.31 : 394,846.56 = 85,738.04 : x
  2. Step 2: Convert to fraction form
    263,231.31/394,846.56 = 85,738.04/x
  3. Step 3: Cross multiply
    263,231.31x = 394,846.56 × 85,738.04
  4. Step 4: Simplify right side
    263,231.31x = 33,853,368,180.91
  5. Step 5: Solve for x
    x = 33,853,368,180.91/263,231.31
  6. Step 6: Final answer
    x = 128,606.92

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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.