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Finding the Fourth Proportional to 275,231.70, 412,847.55 and 265,608.90

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Solution

The fourth proportional to 275,231.70, 412,847.55 and 265,608.90 is: 398,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,231.70 : 412,847.55 = 265,608.90 : x
  2. Step 2: Convert to fraction form
    275,231.70/412,847.55 = 265,608.90/x
  3. Step 3: Cross multiply
    275,231.70x = 412,847.55 × 265,608.90
  4. Step 4: Simplify right side
    275,231.70x = 109,655,983,623.20
  5. Step 5: Solve for x
    x = 109,655,983,623.20/275,231.70
  6. Step 6: Final answer
    x = 398,413.35

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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.