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Finding the Fourth Proportional to 381,704.90, 526,703.19 and 211,906.22

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Solution

The fourth proportional to 381,704.90, 526,703.19 and 211,906.22 is: 292,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,704.90 : 526,703.19 = 211,906.22 : x
  2. Step 2: Convert to fraction form
    381,704.90/526,703.19 = 211,906.22/x
  3. Step 3: Cross multiply
    381,704.90x = 526,703.19 × 211,906.22
  4. Step 4: Simplify right side
    381,704.90x = 111,611,682,054.84
  5. Step 5: Solve for x
    x = 111,611,682,054.84/381,704.90
  6. Step 6: Final answer
    x = 292,403.06

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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.