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Finding the Fourth Proportional to 361,380.78, 498,692.03 and 208,425.38

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Solution

The fourth proportional to 361,380.78, 498,692.03 and 208,425.38 is: 287,619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,380.78 : 498,692.03 = 208,425.38 : x
  2. Step 2: Convert to fraction form
    361,380.78/498,692.03 = 208,425.38/x
  3. Step 3: Cross multiply
    361,380.78x = 498,692.03 × 208,425.38
  4. Step 4: Simplify right side
    361,380.78x = 103,940,072,320.13
  5. Step 5: Solve for x
    x = 103,940,072,320.13/361,380.78
  6. Step 6: Final answer
    x = 287,619.26

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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.