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Finding the Fourth Proportional to 431,067.92, 646,757.40 and 220,804.88

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Solution

The fourth proportional to 431,067.92, 646,757.40 and 220,804.88 is: 331,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,067.92 : 646,757.40 = 220,804.88 : x
  2. Step 2: Convert to fraction form
    431,067.92/646,757.40 = 220,804.88/x
  3. Step 3: Cross multiply
    431,067.92x = 646,757.40 × 220,804.88
  4. Step 4: Simplify right side
    431,067.92x = 142,807,190,096.11
  5. Step 5: Solve for x
    x = 142,807,190,096.11/431,067.92
  6. Step 6: Final answer
    x = 331,286.98

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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.