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Finding the Fourth Proportional to 284,522.61, 392,517.85 and 171,279.75

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Solution

The fourth proportional to 284,522.61, 392,517.85 and 171,279.75 is: 236,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,522.61 : 392,517.85 = 171,279.75 : x
  2. Step 2: Convert to fraction form
    284,522.61/392,517.85 = 171,279.75/x
  3. Step 3: Cross multiply
    284,522.61x = 392,517.85 × 171,279.75
  4. Step 4: Simplify right side
    284,522.61x = 67,230,359,218.54
  5. Step 5: Solve for x
    x = 67,230,359,218.54/284,522.61
  6. Step 6: Final answer
    x = 236,291.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.