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Finding the Fourth Proportional to 289,910.80, 434,866.20 and 270,227.80

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Solution

The fourth proportional to 289,910.80, 434,866.20 and 270,227.80 is: 405,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,910.80 : 434,866.20 = 270,227.80 : x
  2. Step 2: Convert to fraction form
    289,910.80/434,866.20 = 270,227.80/x
  3. Step 3: Cross multiply
    289,910.80x = 434,866.20 × 270,227.80
  4. Step 4: Simplify right side
    289,910.80x = 117,512,936,520.36
  5. Step 5: Solve for x
    x = 117,512,936,520.36/289,910.80
  6. Step 6: Final answer
    x = 405,341.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.