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Finding the Fourth Proportional to 288,605.31, 398,268.44 and 161,305.52

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Solution

The fourth proportional to 288,605.31, 398,268.44 and 161,305.52 is: 222,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,605.31 : 398,268.44 = 161,305.52 : x
  2. Step 2: Convert to fraction form
    288,605.31/398,268.44 = 161,305.52/x
  3. Step 3: Cross multiply
    288,605.31x = 398,268.44 × 161,305.52
  4. Step 4: Simplify right side
    288,605.31x = 64,242,895,015.92
  5. Step 5: Solve for x
    x = 64,242,895,015.92/288,605.31
  6. Step 6: Final answer
    x = 222,597.76

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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.