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Finding the Fourth Proportional to 275,719.89, 413,662.89 and 98,203.80

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Solution

The fourth proportional to 275,719.89, 413,662.89 and 98,203.80 is: 147,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,719.89 : 413,662.89 = 98,203.80 : x
  2. Step 2: Convert to fraction form
    275,719.89/413,662.89 = 98,203.80/x
  3. Step 3: Cross multiply
    275,719.89x = 413,662.89 × 98,203.80
  4. Step 4: Simplify right side
    275,719.89x = 40,623,267,716.98
  5. Step 5: Solve for x
    x = 40,623,267,716.98/275,719.89
  6. Step 6: Final answer
    x = 147,335.28

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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.