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Finding the Fourth Proportional to 412,246.80, 618,305.40 and 145,969.20

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Solution

The fourth proportional to 412,246.80, 618,305.40 and 145,969.20 is: 218,930.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,246.80 : 618,305.40 = 145,969.20 : x
  2. Step 2: Convert to fraction form
    412,246.80/618,305.40 = 145,969.20/x
  3. Step 3: Cross multiply
    412,246.80x = 618,305.40 × 145,969.20
  4. Step 4: Simplify right side
    412,246.80x = 90,253,544,593.68
  5. Step 5: Solve for x
    x = 90,253,544,593.68/412,246.80
  6. Step 6: Final answer
    x = 218,930.86

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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.