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Finding the Fourth Proportional to 300,082.80, 449,519.40 and 187,417.20

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Solution

The fourth proportional to 300,082.80, 449,519.40 and 187,417.20 is: 280,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,082.80 : 449,519.40 = 187,417.20 : x
  2. Step 2: Convert to fraction form
    300,082.80/449,519.40 = 187,417.20/x
  3. Step 3: Cross multiply
    300,082.80x = 449,519.40 × 187,417.20
  4. Step 4: Simplify right side
    300,082.80x = 84,247,667,293.68
  5. Step 5: Solve for x
    x = 84,247,667,293.68/300,082.80
  6. Step 6: Final answer
    x = 280,748.07

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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.