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Finding the Fourth Proportional to 275,406, 413,083.08 and 88,419.12

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Solution

The fourth proportional to 275,406, 413,083.08 and 88,419.12 is: 132,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,406 : 413,083.08 = 88,419.12 : x
  2. Step 2: Convert to fraction form
    275,406/413,083.08 = 88,419.12/x
  3. Step 3: Cross multiply
    275,406x = 413,083.08 × 88,419.12
  4. Step 4: Simplify right side
    275,406x = 36,524,442,420.49
  5. Step 5: Solve for x
    x = 36,524,442,420.49/275,406
  6. Step 6: Final answer
    x = 132,620.36

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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.