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Finding the Fourth Proportional to 431,987.55, 647,990.67 and 132,461.50

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Solution

The fourth proportional to 431,987.55, 647,990.67 and 132,461.50 is: 198,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,987.55 : 647,990.67 = 132,461.50 : x
  2. Step 2: Convert to fraction form
    431,987.55/647,990.67 = 132,461.50/x
  3. Step 3: Cross multiply
    431,987.55x = 647,990.67 × 132,461.50
  4. Step 4: Simplify right side
    431,987.55x = 85,833,816,134.21
  5. Step 5: Solve for x
    x = 85,833,816,134.21/431,987.55
  6. Step 6: Final answer
    x = 198,695.12

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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.