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Finding the Fourth Proportional to 379,204, 523,301.52 and 209,449.06

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Solution

The fourth proportional to 379,204, 523,301.52 and 209,449.06 is: 289,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,204 : 523,301.52 = 209,449.06 : x
  2. Step 2: Convert to fraction form
    379,204/523,301.52 = 209,449.06/x
  3. Step 3: Cross multiply
    379,204x = 523,301.52 × 209,449.06
  4. Step 4: Simplify right side
    379,204x = 109,605,011,460.57
  5. Step 5: Solve for x
    x = 109,605,011,460.57/379,204
  6. Step 6: Final answer
    x = 289,039.70

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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.