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Finding the Fourth Proportional to 379,540.80, 523,793.40 and 209,771.28

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Solution

The fourth proportional to 379,540.80, 523,793.40 and 209,771.28 is: 289,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,540.80 : 523,793.40 = 209,771.28 : x
  2. Step 2: Convert to fraction form
    379,540.80/523,793.40 = 209,771.28/x
  3. Step 3: Cross multiply
    379,540.80x = 523,793.40 × 209,771.28
  4. Step 4: Simplify right side
    379,540.80x = 109,876,811,973.55
  5. Step 5: Solve for x
    x = 109,876,811,973.55/379,540.80
  6. Step 6: Final answer
    x = 289,499.34

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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.