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Finding the Fourth Proportional to 311,137.20, 429,468.48 and 203,536.80

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Solution

The fourth proportional to 311,137.20, 429,468.48 and 203,536.80 is: 280,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,137.20 : 429,468.48 = 203,536.80 : x
  2. Step 2: Convert to fraction form
    311,137.20/429,468.48 = 203,536.80/x
  3. Step 3: Cross multiply
    311,137.20x = 429,468.48 × 203,536.80
  4. Step 4: Simplify right side
    311,137.20x = 87,412,640,120.06
  5. Step 5: Solve for x
    x = 87,412,640,120.06/311,137.20
  6. Step 6: Final answer
    x = 280,945.64

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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.