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Finding the Fourth Proportional to 394,056.88, 543,799.10 and 224,291

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Solution

The fourth proportional to 394,056.88, 543,799.10 and 224,291 is: 309,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,056.88 : 543,799.10 = 224,291 : x
  2. Step 2: Convert to fraction form
    394,056.88/543,799.10 = 224,291/x
  3. Step 3: Cross multiply
    394,056.88x = 543,799.10 × 224,291
  4. Step 4: Simplify right side
    394,056.88x = 121,969,243,938.10
  5. Step 5: Solve for x
    x = 121,969,243,938.10/394,056.88
  6. Step 6: Final answer
    x = 309,521.92

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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.