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Finding the Fourth Proportional to 432,029.40, 647,720.10 and 221,818.20

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Solution

The fourth proportional to 432,029.40, 647,720.10 and 221,818.20 is: 332,560.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,029.40 : 647,720.10 = 221,818.20 : x
  2. Step 2: Convert to fraction form
    432,029.40/647,720.10 = 221,818.20/x
  3. Step 3: Cross multiply
    432,029.40x = 647,720.10 × 221,818.20
  4. Step 4: Simplify right side
    432,029.40x = 143,676,106,685.82
  5. Step 5: Solve for x
    x = 143,676,106,685.82/432,029.40
  6. Step 6: Final answer
    x = 332,560.95

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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.