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Finding the Fourth Proportional to 381,417.11, 526,358.72 and 211,654.07

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Solution

The fourth proportional to 381,417.11, 526,358.72 and 211,654.07 is: 292,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,417.11 : 526,358.72 = 211,654.07 : x
  2. Step 2: Convert to fraction form
    381,417.11/526,358.72 = 211,654.07/x
  3. Step 3: Cross multiply
    381,417.11x = 526,358.72 × 211,654.07
  4. Step 4: Simplify right side
    381,417.11x = 111,405,965,367.99
  5. Step 5: Solve for x
    x = 111,405,965,367.99/381,417.11
  6. Step 6: Final answer
    x = 292,084.34

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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.