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Finding the Fourth Proportional to 305,908.49, 422,146.13 and 169,942.77

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Solution

The fourth proportional to 305,908.49, 422,146.13 and 169,942.77 is: 234,516.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,908.49 : 422,146.13 = 169,942.77 : x
  2. Step 2: Convert to fraction form
    305,908.49/422,146.13 = 169,942.77/x
  3. Step 3: Cross multiply
    305,908.49x = 422,146.13 × 169,942.77
  4. Step 4: Simplify right side
    305,908.49x = 71,740,681,827.27
  5. Step 5: Solve for x
    x = 71,740,681,827.27/305,908.49
  6. Step 6: Final answer
    x = 234,516.80

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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.