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Finding the Fourth Proportional to 647,976.83, 971,979.26 and 198,687.75

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Solution

The fourth proportional to 647,976.83, 971,979.26 and 198,687.75 is: 298,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,976.83 : 971,979.26 = 198,687.75 : x
  2. Step 2: Convert to fraction form
    647,976.83/971,979.26 = 198,687.75/x
  3. Step 3: Cross multiply
    647,976.83x = 971,979.26 × 198,687.75
  4. Step 4: Simplify right side
    647,976.83x = 193,120,373,045.09
  5. Step 5: Solve for x
    x = 193,120,373,045.09/647,976.83
  6. Step 6: Final answer
    x = 298,035.92

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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.