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Finding the Fourth Proportional to 310,694.56, 428,623.92 and 195,882.72

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Solution

The fourth proportional to 310,694.56, 428,623.92 and 195,882.72 is: 270,233.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,694.56 : 428,623.92 = 195,882.72 : x
  2. Step 2: Convert to fraction form
    310,694.56/428,623.92 = 195,882.72/x
  3. Step 3: Cross multiply
    310,694.56x = 428,623.92 × 195,882.72
  4. Step 4: Simplify right side
    310,694.56x = 83,960,019,306.66
  5. Step 5: Solve for x
    x = 83,960,019,306.66/310,694.56
  6. Step 6: Final answer
    x = 270,233.31

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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.