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Finding the Fourth Proportional to 290,398.96, 400,471.44 and 188,387.04

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Solution

The fourth proportional to 290,398.96, 400,471.44 and 188,387.04 is: 259,793.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,398.96 : 400,471.44 = 188,387.04 : x
  2. Step 2: Convert to fraction form
    290,398.96/400,471.44 = 188,387.04/x
  3. Step 3: Cross multiply
    290,398.96x = 400,471.44 × 188,387.04
  4. Step 4: Simplify right side
    290,398.96x = 75,443,629,186.14
  5. Step 5: Solve for x
    x = 75,443,629,186.14/290,398.96
  6. Step 6: Final answer
    x = 259,793.04

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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.