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Finding the Fourth Proportional to 547,546.60, 820,964.70 and 231,917.80

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Solution

The fourth proportional to 547,546.60, 820,964.70 and 231,917.80 is: 347,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,546.60 : 820,964.70 = 231,917.80 : x
  2. Step 2: Convert to fraction form
    547,546.60/820,964.70 = 231,917.80/x
  3. Step 3: Cross multiply
    547,546.60x = 820,964.70 × 231,917.80
  4. Step 4: Simplify right side
    547,546.60x = 190,396,327,101.66
  5. Step 5: Solve for x
    x = 190,396,327,101.66/547,546.60
  6. Step 6: Final answer
    x = 347,726.25

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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.