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Finding the Fourth Proportional to 414,648.85, 572,391.96 and 278,761.61

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Solution

The fourth proportional to 414,648.85, 572,391.96 and 278,761.61 is: 384,809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,648.85 : 572,391.96 = 278,761.61 : x
  2. Step 2: Convert to fraction form
    414,648.85/572,391.96 = 278,761.61/x
  3. Step 3: Cross multiply
    414,648.85x = 572,391.96 × 278,761.61
  4. Step 4: Simplify right side
    414,648.85x = 159,560,904,650.52
  5. Step 5: Solve for x
    x = 159,560,904,650.52/414,648.85
  6. Step 6: Final answer
    x = 384,809.71

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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.