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Finding the Fourth Proportional to 281,903, 389,230.32 and 181,475.96

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Solution

The fourth proportional to 281,903, 389,230.32 and 181,475.96 is: 250,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,903 : 389,230.32 = 181,475.96 : x
  2. Step 2: Convert to fraction form
    281,903/389,230.32 = 181,475.96/x
  3. Step 3: Cross multiply
    281,903x = 389,230.32 × 181,475.96
  4. Step 4: Simplify right side
    281,903x = 70,635,945,983.11
  5. Step 5: Solve for x
    x = 70,635,945,983.11/281,903
  6. Step 6: Final answer
    x = 250,568.27

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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.