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Finding the Fourth Proportional to 422,992.14, 583,868.72 and 378,151.80

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Solution

The fourth proportional to 422,992.14, 583,868.72 and 378,151.80 is: 521,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,992.14 : 583,868.72 = 378,151.80 : x
  2. Step 2: Convert to fraction form
    422,992.14/583,868.72 = 378,151.80/x
  3. Step 3: Cross multiply
    422,992.14x = 583,868.72 × 378,151.80
  4. Step 4: Simplify right side
    422,992.14x = 220,791,007,431.70
  5. Step 5: Solve for x
    x = 220,791,007,431.70/422,992.14
  6. Step 6: Final answer
    x = 521,974.26

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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.