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Finding the Fourth Proportional to 488,257.14, 673,805.67 and 278,700.78

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Solution

The fourth proportional to 488,257.14, 673,805.67 and 278,700.78 is: 384,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,257.14 : 673,805.67 = 278,700.78 : x
  2. Step 2: Convert to fraction form
    488,257.14/673,805.67 = 278,700.78/x
  3. Step 3: Cross multiply
    488,257.14x = 673,805.67 × 278,700.78
  4. Step 4: Simplify right side
    488,257.14x = 187,790,165,797.42
  5. Step 5: Solve for x
    x = 187,790,165,797.42/488,257.14
  6. Step 6: Final answer
    x = 384,613.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.