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Finding the Fourth Proportional to 298,891, 412,471.61 and 178,037.38

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Solution

The fourth proportional to 298,891, 412,471.61 and 178,037.38 is: 245,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,891 : 412,471.61 = 178,037.38 : x
  2. Step 2: Convert to fraction form
    298,891/412,471.61 = 178,037.38/x
  3. Step 3: Cross multiply
    298,891x = 412,471.61 × 178,037.38
  4. Step 4: Simplify right side
    298,891x = 73,435,364,768.78
  5. Step 5: Solve for x
    x = 73,435,364,768.78/298,891
  6. Step 6: Final answer
    x = 245,692.79

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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.