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Finding the Fourth Proportional to 305,865.20, 422,079.69 and 169,907.90

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Solution

The fourth proportional to 305,865.20, 422,079.69 and 169,907.90 is: 234,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,865.20 : 422,079.69 = 169,907.90 : x
  2. Step 2: Convert to fraction form
    305,865.20/422,079.69 = 169,907.90/x
  3. Step 3: Cross multiply
    305,865.20x = 422,079.69 × 169,907.90
  4. Step 4: Simplify right side
    305,865.20x = 71,714,673,760.55
  5. Step 5: Solve for x
    x = 71,714,673,760.55/305,865.20
  6. Step 6: Final answer
    x = 234,464.97

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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.