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Finding the Fourth Proportional to 379,144.96, 523,215.84 and 209,375.68

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Solution

The fourth proportional to 379,144.96, 523,215.84 and 209,375.68 is: 288,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,144.96 : 523,215.84 = 209,375.68 : x
  2. Step 2: Convert to fraction form
    379,144.96/523,215.84 = 209,375.68/x
  3. Step 3: Cross multiply
    379,144.96x = 523,215.84 × 209,375.68
  4. Step 4: Simplify right side
    379,144.96x = 109,548,672,286.77
  5. Step 5: Solve for x
    x = 109,548,672,286.77/379,144.96
  6. Step 6: Final answer
    x = 288,936.12

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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.