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Finding the Fourth Proportional to 275,955.10, 413,604.60 and 247,742.80

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Solution

The fourth proportional to 275,955.10, 413,604.60 and 247,742.80 is: 371,319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,955.10 : 413,604.60 = 247,742.80 : x
  2. Step 2: Convert to fraction form
    275,955.10/413,604.60 = 247,742.80/x
  3. Step 3: Cross multiply
    275,955.10x = 413,604.60 × 247,742.80
  4. Step 4: Simplify right side
    275,955.10x = 102,467,561,696.88
  5. Step 5: Solve for x
    x = 102,467,561,696.88/275,955.10
  6. Step 6: Final answer
    x = 371,319.69

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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.