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Finding the Fourth Proportional to 431,581.20, 647,112.60 and 221,629.20

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Solution

The fourth proportional to 431,581.20, 647,112.60 and 221,629.20 is: 332,310.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,581.20 : 647,112.60 = 221,629.20 : x
  2. Step 2: Convert to fraction form
    431,581.20/647,112.60 = 221,629.20/x
  3. Step 3: Cross multiply
    431,581.20x = 647,112.60 × 221,629.20
  4. Step 4: Simplify right side
    431,581.20x = 143,419,047,847.92
  5. Step 5: Solve for x
    x = 143,419,047,847.92/431,581.20
  6. Step 6: Final answer
    x = 332,310.69

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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.