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Finding the Fourth Proportional to 431,880.21, 647,938.02 and 132,354.15

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Solution

The fourth proportional to 431,880.21, 647,938.02 and 132,354.15 is: 198,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,880.21 : 647,938.02 = 132,354.15 : x
  2. Step 2: Convert to fraction form
    431,880.21/647,938.02 = 132,354.15/x
  3. Step 3: Cross multiply
    431,880.21x = 647,938.02 × 132,354.15
  4. Step 4: Simplify right side
    431,880.21x = 85,757,285,889.78
  5. Step 5: Solve for x
    x = 85,757,285,889.78/431,880.21
  6. Step 6: Final answer
    x = 198,567.30

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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.