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Finding the Fourth Proportional to 543,843.24, 815,780.94 and 259,563.75

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Solution

The fourth proportional to 543,843.24, 815,780.94 and 259,563.75 is: 389,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,843.24 : 815,780.94 = 259,563.75 : x
  2. Step 2: Convert to fraction form
    543,843.24/815,780.94 = 259,563.75/x
  3. Step 3: Cross multiply
    543,843.24x = 815,780.94 × 259,563.75
  4. Step 4: Simplify right side
    543,843.24x = 211,747,159,964.93
  5. Step 5: Solve for x
    x = 211,747,159,964.93/543,843.24
  6. Step 6: Final answer
    x = 389,353.30

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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.