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Finding the Fourth Proportional to 431,411.20, 647,116.80 and 221,459.20

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Solution

The fourth proportional to 431,411.20, 647,116.80 and 221,459.20 is: 332,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,411.20 : 647,116.80 = 221,459.20 : x
  2. Step 2: Convert to fraction form
    431,411.20/647,116.80 = 221,459.20/x
  3. Step 3: Cross multiply
    431,411.20x = 647,116.80 × 221,459.20
  4. Step 4: Simplify right side
    431,411.20x = 143,309,968,834.56
  5. Step 5: Solve for x
    x = 143,309,968,834.56/431,411.20
  6. Step 6: Final answer
    x = 332,188.80

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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.