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Finding the Fourth Proportional to 381,428.73, 526,396.30 and 211,662.86

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Solution

The fourth proportional to 381,428.73, 526,396.30 and 211,662.86 is: 292,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,428.73 : 526,396.30 = 211,662.86 : x
  2. Step 2: Convert to fraction form
    381,428.73/526,396.30 = 211,662.86/x
  3. Step 3: Cross multiply
    381,428.73x = 526,396.30 × 211,662.86
  4. Step 4: Simplify right side
    381,428.73x = 111,418,543,190.28
  5. Step 5: Solve for x
    x = 111,418,543,190.28/381,428.73
  6. Step 6: Final answer
    x = 292,108.42

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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.