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Finding the Fourth Proportional to 308,202, 425,318.76 and 166,890

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Solution

The fourth proportional to 308,202, 425,318.76 and 166,890 is: 230,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,202 : 425,318.76 = 166,890 : x
  2. Step 2: Convert to fraction form
    308,202/425,318.76 = 166,890/x
  3. Step 3: Cross multiply
    308,202x = 425,318.76 × 166,890
  4. Step 4: Simplify right side
    308,202x = 70,981,447,856.40
  5. Step 5: Solve for x
    x = 70,981,447,856.40/308,202
  6. Step 6: Final answer
    x = 230,308.20

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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.