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Finding the Fourth Proportional to 377,871.53, 521,454.87 and 205,791.38

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Solution

The fourth proportional to 377,871.53, 521,454.87 and 205,791.38 is: 283,987.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,871.53 : 521,454.87 = 205,791.38 : x
  2. Step 2: Convert to fraction form
    377,871.53/521,454.87 = 205,791.38/x
  3. Step 3: Cross multiply
    377,871.53x = 521,454.87 × 205,791.38
  4. Step 4: Simplify right side
    377,871.53x = 107,310,917,305.02
  5. Step 5: Solve for x
    x = 107,310,917,305.02/377,871.53
  6. Step 6: Final answer
    x = 283,987.83

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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.