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Finding the Fourth Proportional to 809,647.37, 1,214,891.37 and 330,226.90

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Solution

The fourth proportional to 809,647.37, 1,214,891.37 and 330,226.90 is: 495,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,647.37 : 1,214,891.37 = 330,226.90 : x
  2. Step 2: Convert to fraction form
    809,647.37/1,214,891.37 = 330,226.90/x
  3. Step 3: Cross multiply
    809,647.37x = 1,214,891.37 × 330,226.90
  4. Step 4: Simplify right side
    809,647.37x = 401,189,810,951.85
  5. Step 5: Solve for x
    x = 401,189,810,951.85/809,647.37
  6. Step 6: Final answer
    x = 495,511.78

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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.