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Finding the Fourth Proportional to 505,456, 758,227.74 and 131,479

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Solution

The fourth proportional to 505,456, 758,227.74 and 131,479 is: 197,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,456 : 758,227.74 = 131,479 : x
  2. Step 2: Convert to fraction form
    505,456/758,227.74 = 131,479/x
  3. Step 3: Cross multiply
    505,456x = 758,227.74 × 131,479
  4. Step 4: Simplify right side
    505,456x = 99,691,025,027.46
  5. Step 5: Solve for x
    x = 99,691,025,027.46/505,456
  6. Step 6: Final answer
    x = 197,229.88

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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.