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Finding the Fourth Proportional to 381,794.88, 526,862.49 and 212,039.94

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Solution

The fourth proportional to 381,794.88, 526,862.49 and 212,039.94 is: 292,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,794.88 : 526,862.49 = 212,039.94 : x
  2. Step 2: Convert to fraction form
    381,794.88/526,862.49 = 212,039.94/x
  3. Step 3: Cross multiply
    381,794.88x = 526,862.49 × 212,039.94
  4. Step 4: Simplify right side
    381,794.88x = 111,715,890,767.85
  5. Step 5: Solve for x
    x = 111,715,890,767.85/381,794.88
  6. Step 6: Final answer
    x = 292,607.10

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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.