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Finding the Fourth Proportional to 379,470.81, 523,649.10 and 209,694

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Solution

The fourth proportional to 379,470.81, 523,649.10 and 209,694 is: 289,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,470.81 : 523,649.10 = 209,694 : x
  2. Step 2: Convert to fraction form
    379,470.81/523,649.10 = 209,694/x
  3. Step 3: Cross multiply
    379,470.81x = 523,649.10 × 209,694
  4. Step 4: Simplify right side
    379,470.81x = 109,806,074,375.40
  5. Step 5: Solve for x
    x = 109,806,074,375.40/379,470.81
  6. Step 6: Final answer
    x = 289,366.33

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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.