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Finding the Fourth Proportional to 305,813.19, 422,016.85 and 169,841.94

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Solution

The fourth proportional to 305,813.19, 422,016.85 and 169,841.94 is: 234,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,813.19 : 422,016.85 = 169,841.94 : x
  2. Step 2: Convert to fraction form
    305,813.19/422,016.85 = 169,841.94/x
  3. Step 3: Cross multiply
    305,813.19x = 422,016.85 × 169,841.94
  4. Step 4: Simplify right side
    305,813.19x = 71,676,160,516.69
  5. Step 5: Solve for x
    x = 71,676,160,516.69/305,813.19
  6. Step 6: Final answer
    x = 234,378.90

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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.