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Finding the Fourth Proportional to 288,230.20, 397,716.54 and 160,903

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Solution

The fourth proportional to 288,230.20, 397,716.54 and 160,903 is: 222,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,230.20 : 397,716.54 = 160,903 : x
  2. Step 2: Convert to fraction form
    288,230.20/397,716.54 = 160,903/x
  3. Step 3: Cross multiply
    288,230.20x = 397,716.54 × 160,903
  4. Step 4: Simplify right side
    288,230.20x = 63,993,784,435.62
  5. Step 5: Solve for x
    x = 63,993,784,435.62/288,230.20
  6. Step 6: Final answer
    x = 222,023.18

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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.