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Finding the Fourth Proportional to 431,641.22, 647,588.19 and 221,425.70

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Solution

The fourth proportional to 431,641.22, 647,588.19 and 221,425.70 is: 332,203.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,641.22 : 647,588.19 = 221,425.70 : x
  2. Step 2: Convert to fraction form
    431,641.22/647,588.19 = 221,425.70/x
  3. Step 3: Cross multiply
    431,641.22x = 647,588.19 × 221,425.70
  4. Step 4: Simplify right side
    431,641.22x = 143,392,668,282.48
  5. Step 5: Solve for x
    x = 143,392,668,282.48/431,641.22
  6. Step 6: Final answer
    x = 332,203.37

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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.