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Finding the Fourth Proportional to 253,349.88, 380,025.78 and 205,739.82

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Solution

The fourth proportional to 253,349.88, 380,025.78 and 205,739.82 is: 308,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,349.88 : 380,025.78 = 205,739.82 : x
  2. Step 2: Convert to fraction form
    253,349.88/380,025.78 = 205,739.82/x
  3. Step 3: Cross multiply
    253,349.88x = 380,025.78 × 205,739.82
  4. Step 4: Simplify right side
    253,349.88x = 78,186,435,572.56
  5. Step 5: Solve for x
    x = 78,186,435,572.56/253,349.88
  6. Step 6: Final answer
    x = 308,610.51

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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.