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Finding the Fourth Proportional to 412,093.60, 618,140.40 and 252,661.30

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Solution

The fourth proportional to 412,093.60, 618,140.40 and 252,661.30 is: 378,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,093.60 : 618,140.40 = 252,661.30 : x
  2. Step 2: Convert to fraction form
    412,093.60/618,140.40 = 252,661.30/x
  3. Step 3: Cross multiply
    412,093.60x = 618,140.40 × 252,661.30
  4. Step 4: Simplify right side
    412,093.60x = 156,180,157,046.52
  5. Step 5: Solve for x
    x = 156,180,157,046.52/412,093.60
  6. Step 6: Final answer
    x = 378,991.95

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1.5x scale

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.