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Finding the Fourth Proportional to 308,198, 425,313.24 and 166,886

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Solution

The fourth proportional to 308,198, 425,313.24 and 166,886 is: 230,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,198 : 425,313.24 = 166,886 : x
  2. Step 2: Convert to fraction form
    308,198/425,313.24 = 166,886/x
  3. Step 3: Cross multiply
    308,198x = 425,313.24 × 166,886
  4. Step 4: Simplify right side
    308,198x = 70,978,825,370.64
  5. Step 5: Solve for x
    x = 70,978,825,370.64/308,198
  6. Step 6: Final answer
    x = 230,302.68

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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.