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Finding the Fourth Proportional to 543,578.70, 815,183.48 and 206,538.36

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Solution

The fourth proportional to 543,578.70, 815,183.48 and 206,538.36 is: 309,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,578.70 : 815,183.48 = 206,538.36 : x
  2. Step 2: Convert to fraction form
    543,578.70/815,183.48 = 206,538.36/x
  3. Step 3: Cross multiply
    543,578.70x = 815,183.48 × 206,538.36
  4. Step 4: Simplify right side
    543,578.70x = 168,366,659,058.29
  5. Step 5: Solve for x
    x = 168,366,659,058.29/543,578.70
  6. Step 6: Final answer
    x = 309,737.41

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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.