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Finding the Fourth Proportional to 276,849.20, 415,468.20 and 119,190.80

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Solution

The fourth proportional to 276,849.20, 415,468.20 and 119,190.80 is: 178,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,849.20 : 415,468.20 = 119,190.80 : x
  2. Step 2: Convert to fraction form
    276,849.20/415,468.20 = 119,190.80/x
  3. Step 3: Cross multiply
    276,849.20x = 415,468.20 × 119,190.80
  4. Step 4: Simplify right side
    276,849.20x = 49,519,987,132.56
  5. Step 5: Solve for x
    x = 49,519,987,132.56/276,849.20
  6. Step 6: Final answer
    x = 178,869.89

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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.