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Finding the Fourth Proportional to 379,491.75, 523,691.60 and 209,722.23

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Solution

The fourth proportional to 379,491.75, 523,691.60 and 209,722.23 is: 289,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,491.75 : 523,691.60 = 209,722.23 : x
  2. Step 2: Convert to fraction form
    379,491.75/523,691.60 = 209,722.23/x
  3. Step 3: Cross multiply
    379,491.75x = 523,691.60 × 209,722.23
  4. Step 4: Simplify right side
    379,491.75x = 109,829,769,135.66
  5. Step 5: Solve for x
    x = 109,829,769,135.66/379,491.75
  6. Step 6: Final answer
    x = 289,412.80

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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.