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Finding the Fourth Proportional to 460,198.80, 690,016.32 and 179,388

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Solution

The fourth proportional to 460,198.80, 690,016.32 and 179,388 is: 268,972.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,198.80 : 690,016.32 = 179,388 : x
  2. Step 2: Convert to fraction form
    460,198.80/690,016.32 = 179,388/x
  3. Step 3: Cross multiply
    460,198.80x = 690,016.32 × 179,388
  4. Step 4: Simplify right side
    460,198.80x = 123,780,647,612.16
  5. Step 5: Solve for x
    x = 123,780,647,612.16/460,198.80
  6. Step 6: Final answer
    x = 268,972.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.