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Finding the Fourth Proportional to 381,274.26, 526,153.59 and 206,841.90

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Solution

The fourth proportional to 381,274.26, 526,153.59 and 206,841.90 is: 285,439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,274.26 : 526,153.59 = 206,841.90 : x
  2. Step 2: Convert to fraction form
    381,274.26/526,153.59 = 206,841.90/x
  3. Step 3: Cross multiply
    381,274.26x = 526,153.59 × 206,841.90
  4. Step 4: Simplify right side
    381,274.26x = 108,830,608,247.42
  5. Step 5: Solve for x
    x = 108,830,608,247.42/381,274.26
  6. Step 6: Final answer
    x = 285,439.17

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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.