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Finding the Fourth Proportional to 290,543.38, 400,947.03 and 161,482.14

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Solution

The fourth proportional to 290,543.38, 400,947.03 and 161,482.14 is: 222,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,543.38 : 400,947.03 = 161,482.14 : x
  2. Step 2: Convert to fraction form
    290,543.38/400,947.03 = 161,482.14/x
  3. Step 3: Cross multiply
    290,543.38x = 400,947.03 × 161,482.14
  4. Step 4: Simplify right side
    290,543.38x = 64,745,784,431.04
  5. Step 5: Solve for x
    x = 64,745,784,431.04/290,543.38
  6. Step 6: Final answer
    x = 222,843.78

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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.