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Finding the Fourth Proportional to 378,451.98, 568,071.63 and 278,724.78

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Solution

The fourth proportional to 378,451.98, 568,071.63 and 278,724.78 is: 418,377.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,451.98 : 568,071.63 = 278,724.78 : x
  2. Step 2: Convert to fraction form
    378,451.98/568,071.63 = 278,724.78/x
  3. Step 3: Cross multiply
    378,451.98x = 568,071.63 × 278,724.78
  4. Step 4: Simplify right side
    378,451.98x = 158,335,640,095.99
  5. Step 5: Solve for x
    x = 158,335,640,095.99/378,451.98
  6. Step 6: Final answer
    x = 418,377.10

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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.