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Finding the Fourth Proportional to 489,889.26, 734,198.22 and 219,817.98

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Solution

The fourth proportional to 489,889.26, 734,198.22 and 219,817.98 is: 329,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,889.26 : 734,198.22 = 219,817.98 : x
  2. Step 2: Convert to fraction form
    489,889.26/734,198.22 = 219,817.98/x
  3. Step 3: Cross multiply
    489,889.26x = 734,198.22 × 219,817.98
  4. Step 4: Simplify right side
    489,889.26x = 161,389,969,640.00
  5. Step 5: Solve for x
    x = 161,389,969,640.00/489,889.26
  6. Step 6: Final answer
    x = 329,441.74

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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.