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Finding the Fourth Proportional to 291,085.56, 401,694.12 and 163,761.30

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Solution

The fourth proportional to 291,085.56, 401,694.12 and 163,761.30 is: 225,988.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,085.56 : 401,694.12 = 163,761.30 : x
  2. Step 2: Convert to fraction form
    291,085.56/401,694.12 = 163,761.30/x
  3. Step 3: Cross multiply
    291,085.56x = 401,694.12 × 163,761.30
  4. Step 4: Simplify right side
    291,085.56x = 65,781,951,293.56
  5. Step 5: Solve for x
    x = 65,781,951,293.56/291,085.56
  6. Step 6: Final answer
    x = 225,988.37

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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.