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Finding the Fourth Proportional to 379,018.62, 523,044.21 and 209,251.53

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Solution

The fourth proportional to 379,018.62, 523,044.21 and 209,251.53 is: 288,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,018.62 : 523,044.21 = 209,251.53 : x
  2. Step 2: Convert to fraction form
    379,018.62/523,044.21 = 209,251.53/x
  3. Step 3: Cross multiply
    379,018.62x = 523,044.21 × 209,251.53
  4. Step 4: Simplify right side
    379,018.62x = 109,447,801,200.14
  5. Step 5: Solve for x
    x = 109,447,801,200.14/379,018.62
  6. Step 6: Final answer
    x = 288,766.29

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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.