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Finding the Fourth Proportional to 381,049.42, 571,574.26 and 141,245.78

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Solution

The fourth proportional to 381,049.42, 571,574.26 and 141,245.78 is: 211,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,049.42 : 571,574.26 = 141,245.78 : x
  2. Step 2: Convert to fraction form
    381,049.42/571,574.26 = 141,245.78/x
  3. Step 3: Cross multiply
    381,049.42x = 571,574.26 × 141,245.78
  4. Step 4: Simplify right side
    381,049.42x = 80,732,452,181.62
  5. Step 5: Solve for x
    x = 80,732,452,181.62/381,049.42
  6. Step 6: Final answer
    x = 211,868.72

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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.