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Finding the Fourth Proportional to 200,338, 276,464.24 and 109,692.88

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Solution

The fourth proportional to 200,338, 276,464.24 and 109,692.88 is: 151,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,338 : 276,464.24 = 109,692.88 : x
  2. Step 2: Convert to fraction form
    200,338/276,464.24 = 109,692.88/x
  3. Step 3: Cross multiply
    200,338x = 276,464.24 × 109,692.88
  4. Step 4: Simplify right side
    200,338x = 30,326,158,702.61
  5. Step 5: Solve for x
    x = 30,326,158,702.61/200,338
  6. Step 6: Final answer
    x = 151,374.97

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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.