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Finding the Fourth Proportional to 290,034.35, 400,241.36 and 160,965.32

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Solution

The fourth proportional to 290,034.35, 400,241.36 and 160,965.32 is: 222,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,034.35 : 400,241.36 = 160,965.32 : x
  2. Step 2: Convert to fraction form
    290,034.35/400,241.36 = 160,965.32/x
  3. Step 3: Cross multiply
    290,034.35x = 400,241.36 × 160,965.32
  4. Step 4: Simplify right side
    290,034.35x = 64,424,979,992.65
  5. Step 5: Solve for x
    x = 64,424,979,992.65/290,034.35
  6. Step 6: Final answer
    x = 222,128.80

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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.