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Finding the Fourth Proportional to 331,255.80, 496,883.70 and 278,767.80

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Solution

The fourth proportional to 331,255.80, 496,883.70 and 278,767.80 is: 418,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,255.80 : 496,883.70 = 278,767.80 : x
  2. Step 2: Convert to fraction form
    331,255.80/496,883.70 = 278,767.80/x
  3. Step 3: Cross multiply
    331,255.80x = 496,883.70 × 278,767.80
  4. Step 4: Simplify right side
    331,255.80x = 138,515,175,904.86
  5. Step 5: Solve for x
    x = 138,515,175,904.86/331,255.80
  6. Step 6: Final answer
    x = 418,151.70

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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.