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Finding the Fourth Proportional to 397,211.54, 548,018.52 and 225,116

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Solution

The fourth proportional to 397,211.54, 548,018.52 and 225,116 is: 310,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,211.54 : 548,018.52 = 225,116 : x
  2. Step 2: Convert to fraction form
    397,211.54/548,018.52 = 225,116/x
  3. Step 3: Cross multiply
    397,211.54x = 548,018.52 × 225,116
  4. Step 4: Simplify right side
    397,211.54x = 123,367,737,148.32
  5. Step 5: Solve for x
    x = 123,367,737,148.32/397,211.54
  6. Step 6: Final answer
    x = 310,584.47

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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.