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Finding the Fourth Proportional to 412,542.89, 618,990.78 and 172,712.82

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Solution

The fourth proportional to 412,542.89, 618,990.78 and 172,712.82 is: 259,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,542.89 : 618,990.78 = 172,712.82 : x
  2. Step 2: Convert to fraction form
    412,542.89/618,990.78 = 172,712.82/x
  3. Step 3: Cross multiply
    412,542.89x = 618,990.78 × 172,712.82
  4. Step 4: Simplify right side
    412,542.89x = 106,907,643,167.80
  5. Step 5: Solve for x
    x = 106,907,643,167.80/412,542.89
  6. Step 6: Final answer
    x = 259,143.10

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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.