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Finding the Fourth Proportional to 412,950.78, 619,367.85 and 132,431.58

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Solution

The fourth proportional to 412,950.78, 619,367.85 and 132,431.58 is: 198,628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,950.78 : 619,367.85 = 132,431.58 : x
  2. Step 2: Convert to fraction form
    412,950.78/619,367.85 = 132,431.58/x
  3. Step 3: Cross multiply
    412,950.78x = 619,367.85 × 132,431.58
  4. Step 4: Simplify right side
    412,950.78x = 82,023,862,976.70
  5. Step 5: Solve for x
    x = 82,023,862,976.70/412,950.78
  6. Step 6: Final answer
    x = 198,628.67

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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.