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Finding the Fourth Proportional to 275,680.40, 413,520.60 and 208,320.80

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Solution

The fourth proportional to 275,680.40, 413,520.60 and 208,320.80 is: 312,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,680.40 : 413,520.60 = 208,320.80 : x
  2. Step 2: Convert to fraction form
    275,680.40/413,520.60 = 208,320.80/x
  3. Step 3: Cross multiply
    275,680.40x = 413,520.60 × 208,320.80
  4. Step 4: Simplify right side
    275,680.40x = 86,144,942,208.48
  5. Step 5: Solve for x
    x = 86,144,942,208.48/275,680.40
  6. Step 6: Final answer
    x = 312,481.20

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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.