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Finding the Fourth Proportional to 381,310.62, 571,268.82 and 178,534.71

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Solution

The fourth proportional to 381,310.62, 571,268.82 and 178,534.71 is: 267,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,310.62 : 571,268.82 = 178,534.71 : x
  2. Step 2: Convert to fraction form
    381,310.62/571,268.82 = 178,534.71/x
  3. Step 3: Cross multiply
    381,310.62x = 571,268.82 × 178,534.71
  4. Step 4: Simplify right side
    381,310.62x = 101,991,313,110.74
  5. Step 5: Solve for x
    x = 101,991,313,110.74/381,310.62
  6. Step 6: Final answer
    x = 267,475.67

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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.