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Finding the Fourth Proportional to 308,193, 425,306.34 and 166,881

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Solution

The fourth proportional to 308,193, 425,306.34 and 166,881 is: 230,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,193 : 425,306.34 = 166,881 : x
  2. Step 2: Convert to fraction form
    308,193/425,306.34 = 166,881/x
  3. Step 3: Cross multiply
    308,193x = 425,306.34 × 166,881
  4. Step 4: Simplify right side
    308,193x = 70,975,547,325.54
  5. Step 5: Solve for x
    x = 70,975,547,325.54/308,193
  6. Step 6: Final answer
    x = 230,295.78

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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.