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Finding the Fourth Proportional to 431,787.16, 647,824.03 and 132,270.67

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Solution

The fourth proportional to 431,787.16, 647,824.03 and 132,270.67 is: 198,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,787.16 : 647,824.03 = 132,270.67 : x
  2. Step 2: Convert to fraction form
    431,787.16/647,824.03 = 132,270.67/x
  3. Step 3: Cross multiply
    431,787.16x = 647,824.03 × 132,270.67
  4. Step 4: Simplify right side
    431,787.16x = 85,688,118,969.30
  5. Step 5: Solve for x
    x = 85,688,118,969.30/431,787.16
  6. Step 6: Final answer
    x = 198,449.90

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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.