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Finding the Fourth Proportional to 254,728, 381,566.85 and 149,227.12

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Solution

The fourth proportional to 254,728, 381,566.85 and 149,227.12 is: 223,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,728 : 381,566.85 = 149,227.12 : x
  2. Step 2: Convert to fraction form
    254,728/381,566.85 = 149,227.12/x
  3. Step 3: Cross multiply
    254,728x = 381,566.85 × 149,227.12
  4. Step 4: Simplify right side
    254,728x = 56,940,122,112.97
  5. Step 5: Solve for x
    x = 56,940,122,112.97/254,728
  6. Step 6: Final answer
    x = 223,533.03

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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.