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Finding the Fourth Proportional to 308,233, 425,362.02 and 166,921

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Solution

The fourth proportional to 308,233, 425,362.02 and 166,921 is: 230,351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,233 : 425,362.02 = 166,921 : x
  2. Step 2: Convert to fraction form
    308,233/425,362.02 = 166,921/x
  3. Step 3: Cross multiply
    308,233x = 425,362.02 × 166,921
  4. Step 4: Simplify right side
    308,233x = 71,001,853,740.42
  5. Step 5: Solve for x
    x = 71,001,853,740.42/308,233
  6. Step 6: Final answer
    x = 230,351.24

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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.