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Finding the Fourth Proportional to 379,609.92, 523,821.60 and 209,816.64

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Solution

The fourth proportional to 379,609.92, 523,821.60 and 209,816.64 is: 289,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,609.92 : 523,821.60 = 209,816.64 : x
  2. Step 2: Convert to fraction form
    379,609.92/523,821.60 = 209,816.64/x
  3. Step 3: Cross multiply
    379,609.92x = 523,821.60 × 209,816.64
  4. Step 4: Simplify right side
    379,609.92x = 109,906,488,071.42
  5. Step 5: Solve for x
    x = 109,906,488,071.42/379,609.92
  6. Step 6: Final answer
    x = 289,524.81

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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.