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Finding the Fourth Proportional to 305,920.63, 422,123.59 and 169,942.08

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Solution

The fourth proportional to 305,920.63, 422,123.59 and 169,942.08 is: 234,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,920.63 : 422,123.59 = 169,942.08 : x
  2. Step 2: Convert to fraction form
    305,920.63/422,123.59 = 169,942.08/x
  3. Step 3: Cross multiply
    305,920.63x = 422,123.59 × 169,942.08
  4. Step 4: Simplify right side
    305,920.63x = 71,736,560,476.81
  5. Step 5: Solve for x
    x = 71,736,560,476.81/305,920.63
  6. Step 6: Final answer
    x = 234,494.03

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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.