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Finding the Fourth Proportional to 379,104.78, 523,157.60 and 209,335.26

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Solution

The fourth proportional to 379,104.78, 523,157.60 and 209,335.26 is: 288,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,104.78 : 523,157.60 = 209,335.26 : x
  2. Step 2: Convert to fraction form
    379,104.78/523,157.60 = 209,335.26/x
  3. Step 3: Cross multiply
    379,104.78x = 523,157.60 × 209,335.26
  4. Step 4: Simplify right side
    379,104.78x = 109,515,332,216.98
  5. Step 5: Solve for x
    x = 109,515,332,216.98/379,104.78
  6. Step 6: Final answer
    x = 288,878.80

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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.