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Finding the Fourth Proportional to 397,410.22, 548,413.90 and 225,343.95

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Solution

The fourth proportional to 397,410.22, 548,413.90 and 225,343.95 is: 310,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,410.22 : 548,413.90 = 225,343.95 : x
  2. Step 2: Convert to fraction form
    397,410.22/548,413.90 = 225,343.95/x
  3. Step 3: Cross multiply
    397,410.22x = 548,413.90 × 225,343.95
  4. Step 4: Simplify right side
    397,410.22x = 123,581,754,460.91
  5. Step 5: Solve for x
    x = 123,581,754,460.91/397,410.22
  6. Step 6: Final answer
    x = 310,967.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.