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Finding the Fourth Proportional to 538,080.62, 806,840.67 and 200,843.96

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Solution

The fourth proportional to 538,080.62, 806,840.67 and 200,843.96 is: 301,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,080.62 : 806,840.67 = 200,843.96 : x
  2. Step 2: Convert to fraction form
    538,080.62/806,840.67 = 200,843.96/x
  3. Step 3: Cross multiply
    538,080.62x = 806,840.67 × 200,843.96
  4. Step 4: Simplify right side
    538,080.62x = 162,049,075,251.85
  5. Step 5: Solve for x
    x = 162,049,075,251.85/538,080.62
  6. Step 6: Final answer
    x = 301,161.33

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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.