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Finding the Fourth Proportional to 304,982.01, 420,876.14 and 169,018.25

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Solution

The fourth proportional to 304,982.01, 420,876.14 and 169,018.25 is: 233,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,982.01 : 420,876.14 = 169,018.25 : x
  2. Step 2: Convert to fraction form
    304,982.01/420,876.14 = 169,018.25/x
  3. Step 3: Cross multiply
    304,982.01x = 420,876.14 × 169,018.25
  4. Step 4: Simplify right side
    304,982.01x = 71,135,745,700.08
  5. Step 5: Solve for x
    x = 71,135,745,700.08/304,982.01
  6. Step 6: Final answer
    x = 233,245.71

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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.