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Finding the Fourth Proportional to 263,301.67, 394,877.10 and 85,824.19

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Solution

The fourth proportional to 263,301.67, 394,877.10 and 85,824.19 is: 128,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,301.67 : 394,877.10 = 85,824.19 : x
  2. Step 2: Convert to fraction form
    263,301.67/394,877.10 = 85,824.19/x
  3. Step 3: Cross multiply
    263,301.67x = 394,877.10 × 85,824.19
  4. Step 4: Simplify right side
    263,301.67x = 33,890,005,282.66
  5. Step 5: Solve for x
    x = 33,890,005,282.66/263,301.67
  6. Step 6: Final answer
    x = 128,711.70

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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.