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Finding the Fourth Proportional to 431,642.22, 647,589.69 and 221,426.70

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Solution

The fourth proportional to 431,642.22, 647,589.69 and 221,426.70 is: 332,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,642.22 : 647,589.69 = 221,426.70 : x
  2. Step 2: Convert to fraction form
    431,642.22/647,589.69 = 221,426.70/x
  3. Step 3: Cross multiply
    431,642.22x = 647,589.69 × 221,426.70
  4. Step 4: Simplify right side
    431,642.22x = 143,393,648,010.72
  5. Step 5: Solve for x
    x = 143,393,648,010.72/431,642.22
  6. Step 6: Final answer
    x = 332,204.87

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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.