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Finding the Fourth Proportional to 258,910.57, 388,185.36 and 114,737.88

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Solution

The fourth proportional to 258,910.57, 388,185.36 and 114,737.88 is: 172,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,910.57 : 388,185.36 = 114,737.88 : x
  2. Step 2: Convert to fraction form
    258,910.57/388,185.36 = 114,737.88/x
  3. Step 3: Cross multiply
    258,910.57x = 388,185.36 × 114,737.88
  4. Step 4: Simplify right side
    258,910.57x = 44,539,565,253.44
  5. Step 5: Solve for x
    x = 44,539,565,253.44/258,910.57
  6. Step 6: Final answer
    x = 172,026.83

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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.