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Finding the Fourth Proportional to 266,205.44, 399,365.44 and 76,664.48

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Solution

The fourth proportional to 266,205.44, 399,365.44 and 76,664.48 is: 115,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,205.44 : 399,365.44 = 76,664.48 : x
  2. Step 2: Convert to fraction form
    266,205.44/399,365.44 = 76,664.48/x
  3. Step 3: Cross multiply
    266,205.44x = 399,365.44 × 76,664.48
  4. Step 4: Simplify right side
    266,205.44x = 30,617,143,787.57
  5. Step 5: Solve for x
    x = 30,617,143,787.57/266,205.44
  6. Step 6: Final answer
    x = 115,013.22

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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.