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Finding the Fourth Proportional to 377,940.44, 521,558.54 and 205,857.88

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Solution

The fourth proportional to 377,940.44, 521,558.54 and 205,857.88 is: 284,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,940.44 : 521,558.54 = 205,857.88 : x
  2. Step 2: Convert to fraction form
    377,940.44/521,558.54 = 205,857.88/x
  3. Step 3: Cross multiply
    377,940.44x = 521,558.54 × 205,857.88
  4. Step 4: Simplify right side
    377,940.44x = 107,366,933,007.11
  5. Step 5: Solve for x
    x = 107,366,933,007.11/377,940.44
  6. Step 6: Final answer
    x = 284,084.27

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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.