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Finding the Fourth Proportional to 379,611.32, 523,843.04 and 209,834.50

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Solution

The fourth proportional to 379,611.32, 523,843.04 and 209,834.50 is: 289,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,611.32 : 523,843.04 = 209,834.50 : x
  2. Step 2: Convert to fraction form
    379,611.32/523,843.04 = 209,834.50/x
  3. Step 3: Cross multiply
    379,611.32x = 523,843.04 × 209,834.50
  4. Step 4: Simplify right side
    379,611.32x = 109,920,342,376.88
  5. Step 5: Solve for x
    x = 109,920,342,376.88/379,611.32
  6. Step 6: Final answer
    x = 289,560.23

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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.