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Finding the Fourth Proportional to 303,391.31, 418,499.60 and 196,024.64

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Solution

The fourth proportional to 303,391.31, 418,499.60 and 196,024.64 is: 270,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,391.31 : 418,499.60 = 196,024.64 : x
  2. Step 2: Convert to fraction form
    303,391.31/418,499.60 = 196,024.64/x
  3. Step 3: Cross multiply
    303,391.31x = 418,499.60 × 196,024.64
  4. Step 4: Simplify right side
    303,391.31x = 82,036,230,357.52
  5. Step 5: Solve for x
    x = 82,036,230,357.52/303,391.31
  6. Step 6: Final answer
    x = 270,397.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.