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Finding the Fourth Proportional to 279,864.21, 419,794.22 and 80,184.76

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Solution

The fourth proportional to 279,864.21, 419,794.22 and 80,184.76 is: 120,276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,864.21 : 419,794.22 = 80,184.76 : x
  2. Step 2: Convert to fraction form
    279,864.21/419,794.22 = 80,184.76/x
  3. Step 3: Cross multiply
    279,864.21x = 419,794.22 × 80,184.76
  4. Step 4: Simplify right side
    279,864.21x = 33,661,098,780.09
  5. Step 5: Solve for x
    x = 33,661,098,780.09/279,864.21
  6. Step 6: Final answer
    x = 120,276.54

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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.