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Finding the Fourth Proportional to 288,819.27, 398,573.12 and 161,494.86

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Solution

The fourth proportional to 288,819.27, 398,573.12 and 161,494.86 is: 222,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,819.27 : 398,573.12 = 161,494.86 : x
  2. Step 2: Convert to fraction form
    288,819.27/398,573.12 = 161,494.86/x
  3. Step 3: Cross multiply
    288,819.27x = 398,573.12 × 161,494.86
  4. Step 4: Simplify right side
    288,819.27x = 64,367,512,112.55
  5. Step 5: Solve for x
    x = 64,367,512,112.55/288,819.27
  6. Step 6: Final answer
    x = 222,864.33

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1.5x scale

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.