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Finding the Fourth Proportional to 377,940.94, 521,559.23 and 205,858.38

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Solution

The fourth proportional to 377,940.94, 521,559.23 and 205,858.38 is: 284,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,940.94 : 521,559.23 = 205,858.38 : x
  2. Step 2: Convert to fraction form
    377,940.94/521,559.23 = 205,858.38/x
  3. Step 3: Cross multiply
    377,940.94x = 521,559.23 × 205,858.38
  4. Step 4: Simplify right side
    377,940.94x = 107,367,335,828.66
  5. Step 5: Solve for x
    x = 107,367,335,828.66/377,940.94
  6. Step 6: Final answer
    x = 284,084.96

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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.