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Finding the Fourth Proportional to 263,266.38, 394,940.52 and 85,732.11

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Solution

The fourth proportional to 263,266.38, 394,940.52 and 85,732.11 is: 128,611.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,266.38 : 394,940.52 = 85,732.11 : x
  2. Step 2: Convert to fraction form
    263,266.38/394,940.52 = 85,732.11/x
  3. Step 3: Cross multiply
    263,266.38x = 394,940.52 × 85,732.11
  4. Step 4: Simplify right side
    263,266.38x = 33,859,084,104.10
  5. Step 5: Solve for x
    x = 33,859,084,104.10/263,266.38
  6. Step 6: Final answer
    x = 128,611.50

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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.