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Finding the Fourth Proportional to 288,954.80, 398,735.96 and 161,605.79

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Solution

The fourth proportional to 288,954.80, 398,735.96 and 161,605.79 is: 223,003.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,954.80 : 398,735.96 = 161,605.79 : x
  2. Step 2: Convert to fraction form
    288,954.80/398,735.96 = 161,605.79/x
  3. Step 3: Cross multiply
    288,954.80x = 398,735.96 × 161,605.79
  4. Step 4: Simplify right side
    288,954.80x = 64,438,037,015.50
  5. Step 5: Solve for x
    x = 64,438,037,015.50/288,954.80
  6. Step 6: Final answer
    x = 223,003.87

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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.