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Finding the Fourth Proportional to 397,267.50, 548,229.15 and 218,419.50

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Solution

The fourth proportional to 397,267.50, 548,229.15 and 218,419.50 is: 301,418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,267.50 : 548,229.15 = 218,419.50 : x
  2. Step 2: Convert to fraction form
    397,267.50/548,229.15 = 218,419.50/x
  3. Step 3: Cross multiply
    397,267.50x = 548,229.15 × 218,419.50
  4. Step 4: Simplify right side
    397,267.50x = 119,743,936,828.43
  5. Step 5: Solve for x
    x = 119,743,936,828.43/397,267.50
  6. Step 6: Final answer
    x = 301,418.91

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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.