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Finding the Fourth Proportional to 305,854.20, 422,064.51 and 169,896.90

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Solution

The fourth proportional to 305,854.20, 422,064.51 and 169,896.90 is: 234,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,854.20 : 422,064.51 = 169,896.90 : x
  2. Step 2: Convert to fraction form
    305,854.20/422,064.51 = 169,896.90/x
  3. Step 3: Cross multiply
    305,854.20x = 422,064.51 × 169,896.90
  4. Step 4: Simplify right side
    305,854.20x = 71,707,451,849.02
  5. Step 5: Solve for x
    x = 71,707,451,849.02/305,854.20
  6. Step 6: Final answer
    x = 234,449.79

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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.