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Finding the Fourth Proportional to 379,626.24, 523,857.87 and 209,847

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Solution

The fourth proportional to 379,626.24, 523,857.87 and 209,847 is: 289,574.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,626.24 : 523,857.87 = 209,847 : x
  2. Step 2: Convert to fraction form
    379,626.24/523,857.87 = 209,847/x
  3. Step 3: Cross multiply
    379,626.24x = 523,857.87 × 209,847
  4. Step 4: Simplify right side
    379,626.24x = 109,930,002,445.89
  5. Step 5: Solve for x
    x = 109,930,002,445.89/379,626.24
  6. Step 6: Final answer
    x = 289,574.30

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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.