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Finding the Fourth Proportional to 412,083.60, 618,125.40 and 252,651.30

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Solution

The fourth proportional to 412,083.60, 618,125.40 and 252,651.30 is: 378,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,083.60 : 618,125.40 = 252,651.30 : x
  2. Step 2: Convert to fraction form
    412,083.60/618,125.40 = 252,651.30/x
  3. Step 3: Cross multiply
    412,083.60x = 618,125.40 × 252,651.30
  4. Step 4: Simplify right side
    412,083.60x = 156,170,185,873.02
  5. Step 5: Solve for x
    x = 156,170,185,873.02/412,083.60
  6. Step 6: Final answer
    x = 378,976.95

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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.