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Finding the Fourth Proportional to 504,517.78, 756,647.70 and 149,448.70

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Solution

The fourth proportional to 504,517.78, 756,647.70 and 149,448.70 is: 224,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,517.78 : 756,647.70 = 149,448.70 : x
  2. Step 2: Convert to fraction form
    504,517.78/756,647.70 = 149,448.70/x
  3. Step 3: Cross multiply
    504,517.78x = 756,647.70 × 149,448.70
  4. Step 4: Simplify right side
    504,517.78x = 113,080,015,122.99
  5. Step 5: Solve for x
    x = 113,080,015,122.99/504,517.78
  6. Step 6: Final answer
    x = 224,134.85

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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.