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Finding the Fourth Proportional to 290,223.11, 400,494.41 and 161,169.77

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Solution

The fourth proportional to 290,223.11, 400,494.41 and 161,169.77 is: 222,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,223.11 : 400,494.41 = 161,169.77 : x
  2. Step 2: Convert to fraction form
    290,223.11/400,494.41 = 161,169.77/x
  3. Step 3: Cross multiply
    290,223.11x = 400,494.41 × 161,169.77
  4. Step 4: Simplify right side
    290,223.11x = 64,547,589,943.51
  5. Step 5: Solve for x
    x = 64,547,589,943.51/290,223.11
  6. Step 6: Final answer
    x = 222,406.79

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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.