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Finding the Fourth Proportional to 412,480.32, 618,709.14 and 131,993.52

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Solution

The fourth proportional to 412,480.32, 618,709.14 and 131,993.52 is: 197,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,480.32 : 618,709.14 = 131,993.52 : x
  2. Step 2: Convert to fraction form
    412,480.32/618,709.14 = 131,993.52/x
  3. Step 3: Cross multiply
    412,480.32x = 618,709.14 × 131,993.52
  4. Step 4: Simplify right side
    412,480.32x = 81,665,597,244.77
  5. Step 5: Solve for x
    x = 81,665,597,244.77/412,480.32
  6. Step 6: Final answer
    x = 197,986.65

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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.