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Finding the Fourth Proportional to 505,144.25, 757,858.50 and 220,859.76

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Solution

The fourth proportional to 505,144.25, 757,858.50 and 220,859.76 is: 331,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,144.25 : 757,858.50 = 220,859.76 : x
  2. Step 2: Convert to fraction form
    505,144.25/757,858.50 = 220,859.76/x
  3. Step 3: Cross multiply
    505,144.25x = 757,858.50 × 220,859.76
  4. Step 4: Simplify right side
    505,144.25x = 167,380,446,423.96
  5. Step 5: Solve for x
    x = 167,380,446,423.96/505,144.25
  6. Step 6: Final answer
    x = 331,351.78

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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.