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Finding the Fourth Proportional to 431,632.72, 647,575.44 and 221,417.20

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Solution

The fourth proportional to 431,632.72, 647,575.44 and 221,417.20 is: 332,190.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,632.72 : 647,575.44 = 221,417.20 : x
  2. Step 2: Convert to fraction form
    431,632.72/647,575.44 = 221,417.20/x
  3. Step 3: Cross multiply
    431,632.72x = 647,575.44 × 221,417.20
  4. Step 4: Simplify right side
    431,632.72x = 143,384,340,713.57
  5. Step 5: Solve for x
    x = 143,384,340,713.57/431,632.72
  6. Step 6: Final answer
    x = 332,190.62

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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.