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Finding the Fourth Proportional to 431,049.89, 646,534.94 and 203,293.28

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Solution

The fourth proportional to 431,049.89, 646,534.94 and 203,293.28 is: 304,921.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,049.89 : 646,534.94 = 203,293.28 : x
  2. Step 2: Convert to fraction form
    431,049.89/646,534.94 = 203,293.28/x
  3. Step 3: Cross multiply
    431,049.89x = 646,534.94 × 203,293.28
  4. Step 4: Simplify right side
    431,049.89x = 131,436,204,338.06
  5. Step 5: Solve for x
    x = 131,436,204,338.06/431,049.89
  6. Step 6: Final answer
    x = 304,921.10

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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.