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Finding the Fourth Proportional to 303,907.34, 419,371.16 and 167,940

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Solution

The fourth proportional to 303,907.34, 419,371.16 and 167,940 is: 231,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,907.34 : 419,371.16 = 167,940 : x
  2. Step 2: Convert to fraction form
    303,907.34/419,371.16 = 167,940/x
  3. Step 3: Cross multiply
    303,907.34x = 419,371.16 × 167,940
  4. Step 4: Simplify right side
    303,907.34x = 70,429,191,770.70
  5. Step 5: Solve for x
    x = 70,429,191,770.70/303,907.34
  6. Step 6: Final answer
    x = 231,745.61

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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.