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Finding the Fourth Proportional to 378,780.88, 567,630 and 278,151.64

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Solution

The fourth proportional to 378,780.88, 567,630 and 278,151.64 is: 416,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,780.88 : 567,630 = 278,151.64 : x
  2. Step 2: Convert to fraction form
    378,780.88/567,630 = 278,151.64/x
  3. Step 3: Cross multiply
    378,780.88x = 567,630 × 278,151.64
  4. Step 4: Simplify right side
    378,780.88x = 157,887,215,413.20
  5. Step 5: Solve for x
    x = 157,887,215,413.20/378,780.88
  6. Step 6: Final answer
    x = 416,829.95

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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.