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Finding the Fourth Proportional to 505,490.57, 758,234.43 and 205,900.73

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Solution

The fourth proportional to 505,490.57, 758,234.43 and 205,900.73 is: 308,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,490.57 : 758,234.43 = 205,900.73 : x
  2. Step 2: Convert to fraction form
    505,490.57/758,234.43 = 205,900.73/x
  3. Step 3: Cross multiply
    505,490.57x = 758,234.43 × 205,900.73
  4. Step 4: Simplify right side
    505,490.57x = 156,121,018,856.96
  5. Step 5: Solve for x
    x = 156,121,018,856.96/505,490.57
  6. Step 6: Final answer
    x = 308,850.51

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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.