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Finding the Fourth Proportional to 381,668.86, 526,719.48 and 211,903

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Solution

The fourth proportional to 381,668.86, 526,719.48 and 211,903 is: 292,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,668.86 : 526,719.48 = 211,903 : x
  2. Step 2: Convert to fraction form
    381,668.86/526,719.48 = 211,903/x
  3. Step 3: Cross multiply
    381,668.86x = 526,719.48 × 211,903
  4. Step 4: Simplify right side
    381,668.86x = 111,613,437,970.44
  5. Step 5: Solve for x
    x = 111,613,437,970.44/381,668.86
  6. Step 6: Final answer
    x = 292,435.27

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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.