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Finding the Fourth Proportional to 543,470, 815,198.12 and 382,882.48

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Solution

The fourth proportional to 543,470, 815,198.12 and 382,882.48 is: 574,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,470 : 815,198.12 = 382,882.48 : x
  2. Step 2: Convert to fraction form
    543,470/815,198.12 = 382,882.48/x
  3. Step 3: Cross multiply
    543,470x = 815,198.12 × 382,882.48
  4. Step 4: Simplify right side
    543,470x = 312,125,077,876.94
  5. Step 5: Solve for x
    x = 312,125,077,876.94/543,470
  6. Step 6: Final answer
    x = 574,318.87

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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.