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Finding the Fourth Proportional to 490,634.60, 735,976.20 and 254,438.60

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Solution

The fourth proportional to 490,634.60, 735,976.20 and 254,438.60 is: 381,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,634.60 : 735,976.20 = 254,438.60 : x
  2. Step 2: Convert to fraction form
    490,634.60/735,976.20 = 254,438.60/x
  3. Step 3: Cross multiply
    490,634.60x = 735,976.20 × 254,438.60
  4. Step 4: Simplify right side
    490,634.60x = 187,260,753,961.32
  5. Step 5: Solve for x
    x = 187,260,753,961.32/490,634.60
  6. Step 6: Final answer
    x = 381,670.50

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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.