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Finding the Fourth Proportional to 507,198.06, 699,954.42 and 280,843.56

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Solution

The fourth proportional to 507,198.06, 699,954.42 and 280,843.56 is: 387,575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,198.06 : 699,954.42 = 280,843.56 : x
  2. Step 2: Convert to fraction form
    507,198.06/699,954.42 = 280,843.56/x
  3. Step 3: Cross multiply
    507,198.06x = 699,954.42 × 280,843.56
  4. Step 4: Simplify right side
    507,198.06x = 196,577,691,150.54
  5. Step 5: Solve for x
    x = 196,577,691,150.54/507,198.06
  6. Step 6: Final answer
    x = 387,575.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.