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Finding the Fourth Proportional to 300,198, 414,295.68 and 171,139.56

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Solution

The fourth proportional to 300,198, 414,295.68 and 171,139.56 is: 236,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,198 : 414,295.68 = 171,139.56 : x
  2. Step 2: Convert to fraction form
    300,198/414,295.68 = 171,139.56/x
  3. Step 3: Cross multiply
    300,198x = 414,295.68 × 171,139.56
  4. Step 4: Simplify right side
    300,198x = 70,902,380,385.10
  5. Step 5: Solve for x
    x = 70,902,380,385.10/300,198
  6. Step 6: Final answer
    x = 236,185.39

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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.