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Finding the Fourth Proportional to 505,142.25, 757,855.50 and 220,857.76

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Solution

The fourth proportional to 505,142.25, 757,855.50 and 220,857.76 is: 331,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,142.25 : 757,855.50 = 220,857.76 : x
  2. Step 2: Convert to fraction form
    505,142.25/757,855.50 = 220,857.76/x
  3. Step 3: Cross multiply
    505,142.25x = 757,855.50 × 220,857.76
  4. Step 4: Simplify right side
    505,142.25x = 167,378,268,133.68
  5. Step 5: Solve for x
    x = 167,378,268,133.68/505,142.25
  6. Step 6: Final answer
    x = 331,348.78

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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.