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Finding the Fourth Proportional to 491,684.77, 737,584.26 and 171,737.61

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Solution

The fourth proportional to 491,684.77, 737,584.26 and 171,737.61 is: 257,626.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,684.77 : 737,584.26 = 171,737.61 : x
  2. Step 2: Convert to fraction form
    491,684.77/737,584.26 = 171,737.61/x
  3. Step 3: Cross multiply
    491,684.77x = 737,584.26 × 171,737.61
  4. Step 4: Simplify right side
    491,684.77x = 126,670,957,986.02
  5. Step 5: Solve for x
    x = 126,670,957,986.02/491,684.77
  6. Step 6: Final answer
    x = 257,626.36

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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.