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Finding the Fourth Proportional to 412,960.38, 619,433.28 and 113,439.78

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Solution

The fourth proportional to 412,960.38, 619,433.28 and 113,439.78 is: 170,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,960.38 : 619,433.28 = 113,439.78 : x
  2. Step 2: Convert to fraction form
    412,960.38/619,433.28 = 113,439.78/x
  3. Step 3: Cross multiply
    412,960.38x = 619,433.28 × 113,439.78
  4. Step 4: Simplify right side
    412,960.38x = 70,268,375,007.88
  5. Step 5: Solve for x
    x = 70,268,375,007.88/412,960.38
  6. Step 6: Final answer
    x = 170,157.67

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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.