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Finding the Fourth Proportional to 381,212.82, 526,069.89 and 211,442.58

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Solution

The fourth proportional to 381,212.82, 526,069.89 and 211,442.58 is: 291,788.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,212.82 : 526,069.89 = 211,442.58 : x
  2. Step 2: Convert to fraction form
    381,212.82/526,069.89 = 211,442.58/x
  3. Step 3: Cross multiply
    381,212.82x = 526,069.89 × 211,442.58
  4. Step 4: Simplify right side
    381,212.82x = 111,233,574,801.92
  5. Step 5: Solve for x
    x = 111,233,574,801.92/381,212.82
  6. Step 6: Final answer
    x = 291,788.65

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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.