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Finding the Fourth Proportional to 290,535.65, 400,939.23 and 161,474.10

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Solution

The fourth proportional to 290,535.65, 400,939.23 and 161,474.10 is: 222,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,535.65 : 400,939.23 = 161,474.10 : x
  2. Step 2: Convert to fraction form
    290,535.65/400,939.23 = 161,474.10/x
  3. Step 3: Cross multiply
    290,535.65x = 400,939.23 × 161,474.10
  4. Step 4: Simplify right side
    290,535.65x = 64,741,301,318.94
  5. Step 5: Solve for x
    x = 64,741,301,318.94/290,535.65
  6. Step 6: Final answer
    x = 222,834.28

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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.