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Finding the Fourth Proportional to 381,704.56, 526,749.60 and 211,939.36

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Solution

The fourth proportional to 381,704.56, 526,749.60 and 211,939.36 is: 292,474.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,704.56 : 526,749.60 = 211,939.36 : x
  2. Step 2: Convert to fraction form
    381,704.56/526,749.60 = 211,939.36/x
  3. Step 3: Cross multiply
    381,704.56x = 526,749.60 × 211,939.36
  4. Step 4: Simplify right side
    381,704.56x = 111,638,973,104.26
  5. Step 5: Solve for x
    x = 111,638,973,104.26/381,704.56
  6. Step 6: Final answer
    x = 292,474.82

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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.