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Finding the Fourth Proportional to 800,998.80, 1,202,178.60 and 328,023.60

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Solution

The fourth proportional to 800,998.80, 1,202,178.60 and 328,023.60 is: 492,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,998.80 : 1,202,178.60 = 328,023.60 : x
  2. Step 2: Convert to fraction form
    800,998.80/1,202,178.60 = 328,023.60/x
  3. Step 3: Cross multiply
    800,998.80x = 1,202,178.60 × 328,023.60
  4. Step 4: Simplify right side
    800,998.80x = 394,342,952,214.96
  5. Step 5: Solve for x
    x = 394,342,952,214.96/800,998.80
  6. Step 6: Final answer
    x = 492,314.04

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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.