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Finding the Fourth Proportional to 431,911.20, 647,866.80 and 221,959.20

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Solution

The fourth proportional to 431,911.20, 647,866.80 and 221,959.20 is: 332,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,911.20 : 647,866.80 = 221,959.20 : x
  2. Step 2: Convert to fraction form
    431,911.20/647,866.80 = 221,959.20/x
  3. Step 3: Cross multiply
    431,911.20x = 647,866.80 × 221,959.20
  4. Step 4: Simplify right side
    431,911.20x = 143,799,996,634.56
  5. Step 5: Solve for x
    x = 143,799,996,634.56/431,911.20
  6. Step 6: Final answer
    x = 332,938.80

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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.