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Finding the Fourth Proportional to 548,910.21, 822,801.56 and 211,859.49

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Solution

The fourth proportional to 548,910.21, 822,801.56 and 211,859.49 is: 317,571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,910.21 : 822,801.56 = 211,859.49 : x
  2. Step 2: Convert to fraction form
    548,910.21/822,801.56 = 211,859.49/x
  3. Step 3: Cross multiply
    548,910.21x = 822,801.56 × 211,859.49
  4. Step 4: Simplify right side
    548,910.21x = 174,318,317,813.51
  5. Step 5: Solve for x
    x = 174,318,317,813.51/548,910.21
  6. Step 6: Final answer
    x = 317,571.64

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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.