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Finding the Fourth Proportional to 311,251.82, 428,623.01 and 270,397.29

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Solution

The fourth proportional to 311,251.82, 428,623.01 and 270,397.29 is: 372,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,251.82 : 428,623.01 = 270,397.29 : x
  2. Step 2: Convert to fraction form
    311,251.82/428,623.01 = 270,397.29/x
  3. Step 3: Cross multiply
    311,251.82x = 428,623.01 × 270,397.29
  4. Step 4: Simplify right side
    311,251.82x = 115,898,501,604.98
  5. Step 5: Solve for x
    x = 115,898,501,604.98/311,251.82
  6. Step 6: Final answer
    x = 372,362.49

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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.