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Finding the Fourth Proportional to 379,213.80, 523,317.76 and 209,447.92

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Solution

The fourth proportional to 379,213.80, 523,317.76 and 209,447.92 is: 289,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,213.80 : 523,317.76 = 209,447.92 : x
  2. Step 2: Convert to fraction form
    379,213.80/523,317.76 = 209,447.92/x
  3. Step 3: Cross multiply
    379,213.80x = 523,317.76 × 209,447.92
  4. Step 4: Simplify right side
    379,213.80x = 109,607,816,331.06
  5. Step 5: Solve for x
    x = 109,607,816,331.06/379,213.80
  6. Step 6: Final answer
    x = 289,039.63

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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.