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Finding the Fourth Proportional to 275,452.56, 412,790.85 and 219,042.36

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Solution

The fourth proportional to 275,452.56, 412,790.85 and 219,042.36 is: 328,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,452.56 : 412,790.85 = 219,042.36 : x
  2. Step 2: Convert to fraction form
    275,452.56/412,790.85 = 219,042.36/x
  3. Step 3: Cross multiply
    275,452.56x = 412,790.85 × 219,042.36
  4. Step 4: Simplify right side
    275,452.56x = 90,418,681,970.41
  5. Step 5: Solve for x
    x = 90,418,681,970.41/275,452.56
  6. Step 6: Final answer
    x = 328,255.01

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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.