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Finding the Fourth Proportional to 381,242.36, 570,961.85 and 331,049.67

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Solution

The fourth proportional to 381,242.36, 570,961.85 and 331,049.67 is: 495,791.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,242.36 : 570,961.85 = 331,049.67 : x
  2. Step 2: Convert to fraction form
    381,242.36/570,961.85 = 331,049.67/x
  3. Step 3: Cross multiply
    381,242.36x = 570,961.85 × 331,049.67
  4. Step 4: Simplify right side
    381,242.36x = 189,016,728,228.73
  5. Step 5: Solve for x
    x = 189,016,728,228.73/381,242.36
  6. Step 6: Final answer
    x = 495,791.51

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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.