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Finding the Fourth Proportional to 412,083.96, 618,127.56 and 145,844.52

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Solution

The fourth proportional to 412,083.96, 618,127.56 and 145,844.52 is: 218,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,083.96 : 618,127.56 = 145,844.52 : x
  2. Step 2: Convert to fraction form
    412,083.96/618,127.56 = 145,844.52/x
  3. Step 3: Cross multiply
    412,083.96x = 618,127.56 × 145,844.52
  4. Step 4: Simplify right side
    412,083.96x = 90,150,517,286.97
  5. Step 5: Solve for x
    x = 90,150,517,286.97/412,083.96
  6. Step 6: Final answer
    x = 218,767.35

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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.