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Finding the Fourth Proportional to 258,909.57, 388,183.86 and 114,736.88

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Solution

The fourth proportional to 258,909.57, 388,183.86 and 114,736.88 is: 172,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,909.57 : 388,183.86 = 114,736.88 : x
  2. Step 2: Convert to fraction form
    258,909.57/388,183.86 = 114,736.88/x
  3. Step 3: Cross multiply
    258,909.57x = 388,183.86 × 114,736.88
  4. Step 4: Simplify right side
    258,909.57x = 44,539,005,933.22
  5. Step 5: Solve for x
    x = 44,539,005,933.22/258,909.57
  6. Step 6: Final answer
    x = 172,025.34

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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.