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Finding the Fourth Proportional to 284,579.42, 392,744.45 and 157,279.61

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Solution

The fourth proportional to 284,579.42, 392,744.45 and 157,279.61 is: 217,059.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,579.42 : 392,744.45 = 157,279.61 : x
  2. Step 2: Convert to fraction form
    284,579.42/392,744.45 = 157,279.61/x
  3. Step 3: Cross multiply
    284,579.42x = 392,744.45 × 157,279.61
  4. Step 4: Simplify right side
    284,579.42x = 61,770,691,175.54
  5. Step 5: Solve for x
    x = 61,770,691,175.54/284,579.42
  6. Step 6: Final answer
    x = 217,059.59

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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.