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Finding the Fourth Proportional to 431,261.28, 646,891.92 and 150,858.72

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Solution

The fourth proportional to 431,261.28, 646,891.92 and 150,858.72 is: 226,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,261.28 : 646,891.92 = 150,858.72 : x
  2. Step 2: Convert to fraction form
    431,261.28/646,891.92 = 150,858.72/x
  3. Step 3: Cross multiply
    431,261.28x = 646,891.92 × 150,858.72
  4. Step 4: Simplify right side
    431,261.28x = 97,589,287,029.54
  5. Step 5: Solve for x
    x = 97,589,287,029.54/431,261.28
  6. Step 6: Final answer
    x = 226,288.08

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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.