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Finding the Fourth Proportional to 381,330.72, 526,233.75 and 211,564.85

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Solution

The fourth proportional to 381,330.72, 526,233.75 and 211,564.85 is: 291,958.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,330.72 : 526,233.75 = 211,564.85 : x
  2. Step 2: Convert to fraction form
    381,330.72/526,233.75 = 211,564.85/x
  3. Step 3: Cross multiply
    381,330.72x = 526,233.75 × 211,564.85
  4. Step 4: Simplify right side
    381,330.72x = 111,332,560,959.15
  5. Step 5: Solve for x
    x = 111,332,560,959.15/381,330.72
  6. Step 6: Final answer
    x = 291,958.02

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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.