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Finding the Fourth Proportional to 431,049.64, 646,534.56 and 203,293.03

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Solution

The fourth proportional to 431,049.64, 646,534.56 and 203,293.03 is: 304,920.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,049.64 : 646,534.56 = 203,293.03 : x
  2. Step 2: Convert to fraction form
    431,049.64/646,534.56 = 203,293.03/x
  3. Step 3: Cross multiply
    431,049.64x = 646,534.56 × 203,293.03
  4. Step 4: Simplify right side
    431,049.64x = 131,435,966,469.44
  5. Step 5: Solve for x
    x = 131,435,966,469.44/431,049.64
  6. Step 6: Final answer
    x = 304,920.72

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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.