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Finding the Fourth Proportional to 391,843.80, 540,738.45 and 219,761.73

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Solution

The fourth proportional to 391,843.80, 540,738.45 and 219,761.73 is: 303,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,843.80 : 540,738.45 = 219,761.73 : x
  2. Step 2: Convert to fraction form
    391,843.80/540,738.45 = 219,761.73/x
  3. Step 3: Cross multiply
    391,843.80x = 540,738.45 × 219,761.73
  4. Step 4: Simplify right side
    391,843.80x = 118,833,617,249.52
  5. Step 5: Solve for x
    x = 118,833,617,249.52/391,843.80
  6. Step 6: Final answer
    x = 303,267.83

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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.