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Finding the Fourth Proportional to 290,505.48, 400,886.82 and 161,451.96

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Solution

The fourth proportional to 290,505.48, 400,886.82 and 161,451.96 is: 222,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,505.48 : 400,886.82 = 161,451.96 : x
  2. Step 2: Convert to fraction form
    290,505.48/400,886.82 = 161,451.96/x
  3. Step 3: Cross multiply
    290,505.48x = 400,886.82 × 161,451.96
  4. Step 4: Simplify right side
    290,505.48x = 64,723,962,827.17
  5. Step 5: Solve for x
    x = 64,723,962,827.17/290,505.48
  6. Step 6: Final answer
    x = 222,797.73

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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.