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Finding the Fourth Proportional to 412,519.66, 618,780.02 and 113,002.88

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Solution

The fourth proportional to 412,519.66, 618,780.02 and 113,002.88 is: 169,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,519.66 : 618,780.02 = 113,002.88 : x
  2. Step 2: Convert to fraction form
    412,519.66/618,780.02 = 113,002.88/x
  3. Step 3: Cross multiply
    412,519.66x = 618,780.02 × 113,002.88
  4. Step 4: Simplify right side
    412,519.66x = 69,923,921,535.06
  5. Step 5: Solve for x
    x = 69,923,921,535.06/412,519.66
  6. Step 6: Final answer
    x = 169,504.46

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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.