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Finding the Fourth Proportional to 210,440.43, 290,382.57 and 119,796.57

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Solution

The fourth proportional to 210,440.43, 290,382.57 and 119,796.57 is: 165,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,440.43 : 290,382.57 = 119,796.57 : x
  2. Step 2: Convert to fraction form
    210,440.43/290,382.57 = 119,796.57/x
  3. Step 3: Cross multiply
    210,440.43x = 290,382.57 × 119,796.57
  4. Step 4: Simplify right side
    210,440.43x = 34,786,835,873.78
  5. Step 5: Solve for x
    x = 34,786,835,873.78/210,440.43
  6. Step 6: Final answer
    x = 165,304.91

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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.