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Finding the Fourth Proportional to 290,426.78, 400,783.89 and 161,366.43

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Solution

The fourth proportional to 290,426.78, 400,783.89 and 161,366.43 is: 222,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,426.78 : 400,783.89 = 161,366.43 : x
  2. Step 2: Convert to fraction form
    290,426.78/400,783.89 = 161,366.43/x
  3. Step 3: Cross multiply
    290,426.78x = 400,783.89 × 161,366.43
  4. Step 4: Simplify right side
    290,426.78x = 64,673,065,530.81
  5. Step 5: Solve for x
    x = 64,673,065,530.81/290,426.78
  6. Step 6: Final answer
    x = 222,682.86

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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.