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Finding the Fourth Proportional to 311,435.27, 429,780.56 and 168,195.34

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Solution

The fourth proportional to 311,435.27, 429,780.56 and 168,195.34 is: 232,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,435.27 : 429,780.56 = 168,195.34 : x
  2. Step 2: Convert to fraction form
    311,435.27/429,780.56 = 168,195.34/x
  3. Step 3: Cross multiply
    311,435.27x = 429,780.56 × 168,195.34
  4. Step 4: Simplify right side
    311,435.27x = 72,287,087,414.59
  5. Step 5: Solve for x
    x = 72,287,087,414.59/311,435.27
  6. Step 6: Final answer
    x = 232,109.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.