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Finding the Fourth Proportional to 378,460.98, 568,085.13 and 278,733.78

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Solution

The fourth proportional to 378,460.98, 568,085.13 and 278,733.78 is: 418,390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,460.98 : 568,085.13 = 278,733.78 : x
  2. Step 2: Convert to fraction form
    378,460.98/568,085.13 = 278,733.78/x
  3. Step 3: Cross multiply
    378,460.98x = 568,085.13 × 278,733.78
  4. Step 4: Simplify right side
    378,460.98x = 158,344,515,646.69
  5. Step 5: Solve for x
    x = 158,344,515,646.69/378,460.98
  6. Step 6: Final answer
    x = 418,390.60

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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.