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Finding the Fourth Proportional to 290,563.80, 400,976.70 and 161,501.64

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Solution

The fourth proportional to 290,563.80, 400,976.70 and 161,501.64 is: 222,871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,563.80 : 400,976.70 = 161,501.64 : x
  2. Step 2: Convert to fraction form
    290,563.80/400,976.70 = 161,501.64/x
  3. Step 3: Cross multiply
    290,563.80x = 400,976.70 × 161,501.64
  4. Step 4: Simplify right side
    290,563.80x = 64,758,394,651.79
  5. Step 5: Solve for x
    x = 64,758,394,651.79/290,563.80
  6. Step 6: Final answer
    x = 222,871.52

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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.