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Finding the Fourth Proportional to 274,710.31, 412,205.99 and 130,778.78

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Solution

The fourth proportional to 274,710.31, 412,205.99 and 130,778.78 is: 196,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,710.31 : 412,205.99 = 130,778.78 : x
  2. Step 2: Convert to fraction form
    274,710.31/412,205.99 = 130,778.78/x
  3. Step 3: Cross multiply
    274,710.31x = 412,205.99 × 130,778.78
  4. Step 4: Simplify right side
    274,710.31x = 53,907,795,293.11
  5. Step 5: Solve for x
    x = 53,907,795,293.11/274,710.31
  6. Step 6: Final answer
    x = 196,235.06

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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.