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Finding the Fourth Proportional to 288,902.70, 398,683.42 and 161,578.19

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Solution

The fourth proportional to 288,902.70, 398,683.42 and 161,578.19 is: 222,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,902.70 : 398,683.42 = 161,578.19 : x
  2. Step 2: Convert to fraction form
    288,902.70/398,683.42 = 161,578.19/x
  3. Step 3: Cross multiply
    288,902.70x = 398,683.42 × 161,578.19
  4. Step 4: Simplify right side
    288,902.70x = 64,418,545,979.37
  5. Step 5: Solve for x
    x = 64,418,545,979.37/288,902.70
  6. Step 6: Final answer
    x = 222,976.61

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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.