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Finding the Fourth Proportional to 313,930.35, 433,218.78 and 170,694

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Solution

The fourth proportional to 313,930.35, 433,218.78 and 170,694 is: 235,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,930.35 : 433,218.78 = 170,694 : x
  2. Step 2: Convert to fraction form
    313,930.35/433,218.78 = 170,694/x
  3. Step 3: Cross multiply
    313,930.35x = 433,218.78 × 170,694
  4. Step 4: Simplify right side
    313,930.35x = 73,947,846,433.32
  5. Step 5: Solve for x
    x = 73,947,846,433.32/313,930.35
  6. Step 6: Final answer
    x = 235,554.95

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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.