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Finding the Fourth Proportional to 277,759.21, 416,552.85 and 100,243.75

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Solution

The fourth proportional to 277,759.21, 416,552.85 and 100,243.75 is: 150,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,759.21 : 416,552.85 = 100,243.75 : x
  2. Step 2: Convert to fraction form
    277,759.21/416,552.85 = 100,243.75/x
  3. Step 3: Cross multiply
    277,759.21x = 416,552.85 × 100,243.75
  4. Step 4: Simplify right side
    277,759.21x = 41,756,819,757.19
  5. Step 5: Solve for x
    x = 41,756,819,757.19/277,759.21
  6. Step 6: Final answer
    x = 150,334.60

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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.