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Finding the Fourth Proportional to 305,864.10, 422,078.49 and 169,906.86

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Solution

The fourth proportional to 305,864.10, 422,078.49 and 169,906.86 is: 234,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,864.10 : 422,078.49 = 169,906.86 : x
  2. Step 2: Convert to fraction form
    305,864.10/422,078.49 = 169,906.86/x
  3. Step 3: Cross multiply
    305,864.10x = 422,078.49 × 169,906.86
  4. Step 4: Simplify right side
    305,864.10x = 71,714,030,909.44
  5. Step 5: Solve for x
    x = 71,714,030,909.44/305,864.10
  6. Step 6: Final answer
    x = 234,463.71

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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.