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Finding the Fourth Proportional to 381,532.68, 526,521.72 and 209,466.66

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Solution

The fourth proportional to 381,532.68, 526,521.72 and 209,466.66 is: 289,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,532.68 : 526,521.72 = 209,466.66 : x
  2. Step 2: Convert to fraction form
    381,532.68/526,521.72 = 209,466.66/x
  3. Step 3: Cross multiply
    381,532.68x = 526,521.72 × 209,466.66
  4. Step 4: Simplify right side
    381,532.68x = 110,288,744,725.88
  5. Step 5: Solve for x
    x = 110,288,744,725.88/381,532.68
  6. Step 6: Final answer
    x = 289,067.62

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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.