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Finding the Fourth Proportional to 297,085.38, 409,978.04 and 161,119.32

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Solution

The fourth proportional to 297,085.38, 409,978.04 and 161,119.32 is: 222,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,085.38 : 409,978.04 = 161,119.32 : x
  2. Step 2: Convert to fraction form
    297,085.38/409,978.04 = 161,119.32/x
  3. Step 3: Cross multiply
    297,085.38x = 409,978.04 × 161,119.32
  4. Step 4: Simplify right side
    297,085.38x = 66,055,382,214.14
  5. Step 5: Solve for x
    x = 66,055,382,214.14/297,085.38
  6. Step 6: Final answer
    x = 222,344.78

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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.