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Finding the Fourth Proportional to 305,806.80, 422,019 and 169,853.34

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Solution

The fourth proportional to 305,806.80, 422,019 and 169,853.34 is: 234,400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,806.80 : 422,019 = 169,853.34 : x
  2. Step 2: Convert to fraction form
    305,806.80/422,019 = 169,853.34/x
  3. Step 3: Cross multiply
    305,806.80x = 422,019 × 169,853.34
  4. Step 4: Simplify right side
    305,806.80x = 71,681,336,693.46
  5. Step 5: Solve for x
    x = 71,681,336,693.46/305,806.80
  6. Step 6: Final answer
    x = 234,400.73

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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.