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Finding the Fourth Proportional to 279,072, 418,608 and 82,080

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Solution

The fourth proportional to 279,072, 418,608 and 82,080 is: 123,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,072 : 418,608 = 82,080 : x
  2. Step 2: Convert to fraction form
    279,072/418,608 = 82,080/x
  3. Step 3: Cross multiply
    279,072x = 418,608 × 82,080
  4. Step 4: Simplify right side
    279,072x = 34,359,344,640
  5. Step 5: Solve for x
    x = 34,359,344,640/279,072
  6. Step 6: Final answer
    x = 123,120

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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.