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Finding the Fourth Proportional to 290,744.33, 401,227.51 and 161,680.05

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Solution

The fourth proportional to 290,744.33, 401,227.51 and 161,680.05 is: 223,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,744.33 : 401,227.51 = 161,680.05 : x
  2. Step 2: Convert to fraction form
    290,744.33/401,227.51 = 161,680.05/x
  3. Step 3: Cross multiply
    290,744.33x = 401,227.51 × 161,680.05
  4. Step 4: Simplify right side
    290,744.33x = 64,870,481,872.04
  5. Step 5: Solve for x
    x = 64,870,481,872.04/290,744.33
  6. Step 6: Final answer
    x = 223,118.65

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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.