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Finding the Fourth Proportional to 322,978.60, 484,755.90 and 189,692.20

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Solution

The fourth proportional to 322,978.60, 484,755.90 and 189,692.20 is: 284,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,978.60 : 484,755.90 = 189,692.20 : x
  2. Step 2: Convert to fraction form
    322,978.60/484,755.90 = 189,692.20/x
  3. Step 3: Cross multiply
    322,978.60x = 484,755.90 × 189,692.20
  4. Step 4: Simplify right side
    322,978.60x = 91,954,413,133.98
  5. Step 5: Solve for x
    x = 91,954,413,133.98/322,978.60
  6. Step 6: Final answer
    x = 284,707.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.