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Finding the Fourth Proportional to 363,857.43, 543,227.77 and 278,019.04

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Solution

The fourth proportional to 363,857.43, 543,227.77 and 278,019.04 is: 415,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,857.43 : 543,227.77 = 278,019.04 : x
  2. Step 2: Convert to fraction form
    363,857.43/543,227.77 = 278,019.04/x
  3. Step 3: Cross multiply
    363,857.43x = 543,227.77 × 278,019.04
  4. Step 4: Simplify right side
    363,857.43x = 151,027,663,116.74
  5. Step 5: Solve for x
    x = 151,027,663,116.74/363,857.43
  6. Step 6: Final answer
    x = 415,073.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.