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Finding the Fourth Proportional to 432,081.80, 647,604.30 and 221,611.40

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Solution

The fourth proportional to 432,081.80, 647,604.30 and 221,611.40 is: 332,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,081.80 : 647,604.30 = 221,611.40 : x
  2. Step 2: Convert to fraction form
    432,081.80/647,604.30 = 221,611.40/x
  3. Step 3: Cross multiply
    432,081.80x = 647,604.30 × 221,611.40
  4. Step 4: Simplify right side
    432,081.80x = 143,516,495,569.02
  5. Step 5: Solve for x
    x = 143,516,495,569.02/432,081.80
  6. Step 6: Final answer
    x = 332,151.22

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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.