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Finding the Fourth Proportional to 288,703.44, 398,403.72 and 161,394

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Solution

The fourth proportional to 288,703.44, 398,403.72 and 161,394 is: 222,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,703.44 : 398,403.72 = 161,394 : x
  2. Step 2: Convert to fraction form
    288,703.44/398,403.72 = 161,394/x
  3. Step 3: Cross multiply
    288,703.44x = 398,403.72 × 161,394
  4. Step 4: Simplify right side
    288,703.44x = 64,299,969,985.68
  5. Step 5: Solve for x
    x = 64,299,969,985.68/288,703.44
  6. Step 6: Final answer
    x = 222,719.79

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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.