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Finding the Fourth Proportional to 276,857.20, 415,480.20 and 119,198.80

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Solution

The fourth proportional to 276,857.20, 415,480.20 and 119,198.80 is: 178,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,857.20 : 415,480.20 = 119,198.80 : x
  2. Step 2: Convert to fraction form
    276,857.20/415,480.20 = 119,198.80/x
  3. Step 3: Cross multiply
    276,857.20x = 415,480.20 × 119,198.80
  4. Step 4: Simplify right side
    276,857.20x = 49,524,741,263.76
  5. Step 5: Solve for x
    x = 49,524,741,263.76/276,857.20
  6. Step 6: Final answer
    x = 178,881.90

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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.