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Finding the Fourth Proportional to 547,687.80, 755,799.66 and 305,955

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Solution

The fourth proportional to 547,687.80, 755,799.66 and 305,955 is: 422,212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,687.80 : 755,799.66 = 305,955 : x
  2. Step 2: Convert to fraction form
    547,687.80/755,799.66 = 305,955/x
  3. Step 3: Cross multiply
    547,687.80x = 755,799.66 × 305,955
  4. Step 4: Simplify right side
    547,687.80x = 231,240,684,975.30
  5. Step 5: Solve for x
    x = 231,240,684,975.30/547,687.80
  6. Step 6: Final answer
    x = 422,212.59

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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.