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Finding the Fourth Proportional to 305,881.41, 422,183.82 and 169,962.06

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Solution

The fourth proportional to 305,881.41, 422,183.82 and 169,962.06 is: 234,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,881.41 : 422,183.82 = 169,962.06 : x
  2. Step 2: Convert to fraction form
    305,881.41/422,183.82 = 169,962.06/x
  3. Step 3: Cross multiply
    305,881.41x = 422,183.82 × 169,962.06
  4. Step 4: Simplify right side
    305,881.41x = 71,755,231,745.87
  5. Step 5: Solve for x
    x = 71,755,231,745.87/305,881.41
  6. Step 6: Final answer
    x = 234,585.13

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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.