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Finding the Fourth Proportional to 288,696.42, 398,394.18 and 161,383.86

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Solution

The fourth proportional to 288,696.42, 398,394.18 and 161,383.86 is: 222,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,696.42 : 398,394.18 = 161,383.86 : x
  2. Step 2: Convert to fraction form
    288,696.42/398,394.18 = 161,383.86/x
  3. Step 3: Cross multiply
    288,696.42x = 398,394.18 × 161,383.86
  4. Step 4: Simplify right side
    288,696.42x = 64,294,390,569.93
  5. Step 5: Solve for x
    x = 64,294,390,569.93/288,696.42
  6. Step 6: Final answer
    x = 222,705.88

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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.