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Finding the Fourth Proportional to 307,393, 424,202.34 and 166,081

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Solution

The fourth proportional to 307,393, 424,202.34 and 166,081 is: 229,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,393 : 424,202.34 = 166,081 : x
  2. Step 2: Convert to fraction form
    307,393/424,202.34 = 166,081/x
  3. Step 3: Cross multiply
    307,393x = 424,202.34 × 166,081
  4. Step 4: Simplify right side
    307,393x = 70,451,948,829.54
  5. Step 5: Solve for x
    x = 70,451,948,829.54/307,393
  6. Step 6: Final answer
    x = 229,191.78

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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.