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Finding the Fourth Proportional to 281,997, 389,190.42 and 162,765

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Solution

The fourth proportional to 281,997, 389,190.42 and 162,765 is: 224,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,997 : 389,190.42 = 162,765 : x
  2. Step 2: Convert to fraction form
    281,997/389,190.42 = 162,765/x
  3. Step 3: Cross multiply
    281,997x = 389,190.42 × 162,765
  4. Step 4: Simplify right side
    281,997x = 63,346,578,711.30
  5. Step 5: Solve for x
    x = 63,346,578,711.30/281,997
  6. Step 6: Final answer
    x = 224,635.65

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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.