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Finding the Fourth Proportional to 290,074.86, 400,282.02 and 161,020.80

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Solution

The fourth proportional to 290,074.86, 400,282.02 and 161,020.80 is: 222,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,074.86 : 400,282.02 = 161,020.80 : x
  2. Step 2: Convert to fraction form
    290,074.86/400,282.02 = 161,020.80/x
  3. Step 3: Cross multiply
    290,074.86x = 400,282.02 × 161,020.80
  4. Step 4: Simplify right side
    290,074.86x = 64,453,731,086.02
  5. Step 5: Solve for x
    x = 64,453,731,086.02/290,074.86
  6. Step 6: Final answer
    x = 222,196.89

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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.