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Finding the Fourth Proportional to 305,881.14, 422,101.71 and 169,923.90

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Solution

The fourth proportional to 305,881.14, 422,101.71 and 169,923.90 is: 234,487.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,881.14 : 422,101.71 = 169,923.90 : x
  2. Step 2: Convert to fraction form
    305,881.14/422,101.71 = 169,923.90/x
  3. Step 3: Cross multiply
    305,881.14x = 422,101.71 × 169,923.90
  4. Step 4: Simplify right side
    305,881.14x = 71,725,168,759.87
  5. Step 5: Solve for x
    x = 71,725,168,759.87/305,881.14
  6. Step 6: Final answer
    x = 234,487.06

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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.