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Finding the Fourth Proportional to 397,722.58, 548,868.69 and 216,446.20

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Solution

The fourth proportional to 397,722.58, 548,868.69 and 216,446.20 is: 298,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,722.58 : 548,868.69 = 216,446.20 : x
  2. Step 2: Convert to fraction form
    397,722.58/548,868.69 = 216,446.20/x
  3. Step 3: Cross multiply
    397,722.58x = 548,868.69 × 216,446.20
  4. Step 4: Simplify right side
    397,722.58x = 118,800,542,249.48
  5. Step 5: Solve for x
    x = 118,800,542,249.48/397,722.58
  6. Step 6: Final answer
    x = 298,702.03

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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.