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Finding the Fourth Proportional to 284,361, 426,540.28 and 115,843.74

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Solution

The fourth proportional to 284,361, 426,540.28 and 115,843.74 is: 173,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,361 : 426,540.28 = 115,843.74 : x
  2. Step 2: Convert to fraction form
    284,361/426,540.28 = 115,843.74/x
  3. Step 3: Cross multiply
    284,361x = 426,540.28 × 115,843.74
  4. Step 4: Simplify right side
    284,361x = 49,412,021,295.85
  5. Step 5: Solve for x
    x = 49,412,021,295.85/284,361
  6. Step 6: Final answer
    x = 173,765.11

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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.