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Finding the Fourth Proportional to 305,793.20, 422,008.60 and 169,827.76

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Solution

The fourth proportional to 305,793.20, 422,008.60 and 169,827.76 is: 234,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,793.20 : 422,008.60 = 169,827.76 : x
  2. Step 2: Convert to fraction form
    305,793.20/422,008.60 = 169,827.76/x
  3. Step 3: Cross multiply
    305,793.20x = 422,008.60 × 169,827.76
  4. Step 4: Simplify right side
    305,793.20x = 71,668,775,238.74
  5. Step 5: Solve for x
    x = 71,668,775,238.74/305,793.20
  6. Step 6: Final answer
    x = 234,370.08

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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.