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Finding the Fourth Proportional to 379,296, 523,383.86 and 209,520

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Solution

The fourth proportional to 379,296, 523,383.86 and 209,520 is: 289,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,296 : 523,383.86 = 209,520 : x
  2. Step 2: Convert to fraction form
    379,296/523,383.86 = 209,520/x
  3. Step 3: Cross multiply
    379,296x = 523,383.86 × 209,520
  4. Step 4: Simplify right side
    379,296x = 109,659,386,347.20
  5. Step 5: Solve for x
    x = 109,659,386,347.20/379,296
  6. Step 6: Final answer
    x = 289,112.95

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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.