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Finding the Fourth Proportional to 284,641.02, 426,591.12 and 115,963.80

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Solution

The fourth proportional to 284,641.02, 426,591.12 and 115,963.80 is: 173,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,641.02 : 426,591.12 = 115,963.80 : x
  2. Step 2: Convert to fraction form
    284,641.02/426,591.12 = 115,963.80/x
  3. Step 3: Cross multiply
    284,641.02x = 426,591.12 × 115,963.80
  4. Step 4: Simplify right side
    284,641.02x = 49,469,127,321.46
  5. Step 5: Solve for x
    x = 49,469,127,321.46/284,641.02
  6. Step 6: Final answer
    x = 173,794.79

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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.