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Finding the Fourth Proportional to 394,054.88, 543,796.34 and 224,289

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Solution

The fourth proportional to 394,054.88, 543,796.34 and 224,289 is: 309,519.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,054.88 : 543,796.34 = 224,289 : x
  2. Step 2: Convert to fraction form
    394,054.88/543,796.34 = 224,289/x
  3. Step 3: Cross multiply
    394,054.88x = 543,796.34 × 224,289
  4. Step 4: Simplify right side
    394,054.88x = 121,967,536,180.82
  5. Step 5: Solve for x
    x = 121,967,536,180.82/394,054.88
  6. Step 6: Final answer
    x = 309,519.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.