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Finding the Fourth Proportional to 304,991.56, 420,876.90 and 169,021.96

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Solution

The fourth proportional to 304,991.56, 420,876.90 and 169,021.96 is: 233,243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,991.56 : 420,876.90 = 169,021.96 : x
  2. Step 2: Convert to fraction form
    304,991.56/420,876.90 = 169,021.96/x
  3. Step 3: Cross multiply
    304,991.56x = 420,876.90 × 169,021.96
  4. Step 4: Simplify right side
    304,991.56x = 71,137,438,556.72
  5. Step 5: Solve for x
    x = 71,137,438,556.72/304,991.56
  6. Step 6: Final answer
    x = 233,243.96

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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.