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Finding the Fourth Proportional to 379,071.62, 523,121.37 and 206,990.78

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Solution

The fourth proportional to 379,071.62, 523,121.37 and 206,990.78 is: 285,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,071.62 : 523,121.37 = 206,990.78 : x
  2. Step 2: Convert to fraction form
    379,071.62/523,121.37 = 206,990.78/x
  3. Step 3: Cross multiply
    379,071.62x = 523,121.37 × 206,990.78
  4. Step 4: Simplify right side
    379,071.62x = 108,281,301,718.77
  5. Step 5: Solve for x
    x = 108,281,301,718.77/379,071.62
  6. Step 6: Final answer
    x = 285,648.66

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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.