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Finding the Fourth Proportional to 281,843.25, 389,147.81 and 181,416.21

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Solution

The fourth proportional to 281,843.25, 389,147.81 and 181,416.21 is: 250,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,843.25 : 389,147.81 = 181,416.21 : x
  2. Step 2: Convert to fraction form
    281,843.25/389,147.81 = 181,416.21/x
  3. Step 3: Cross multiply
    281,843.25x = 389,147.81 × 181,416.21
  4. Step 4: Simplify right side
    281,843.25x = 70,597,719,912.92
  5. Step 5: Solve for x
    x = 70,597,719,912.92/281,843.25
  6. Step 6: Final answer
    x = 250,485.76

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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.