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Finding the Fourth Proportional to 647,251.89, 970,916.75 and 197,976.65

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Solution

The fourth proportional to 647,251.89, 970,916.75 and 197,976.65 is: 296,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,251.89 : 970,916.75 = 197,976.65 : x
  2. Step 2: Convert to fraction form
    647,251.89/970,916.75 = 197,976.65/x
  3. Step 3: Cross multiply
    647,251.89x = 970,916.75 × 197,976.65
  4. Step 4: Simplify right side
    647,251.89x = 192,218,841,234.25
  5. Step 5: Solve for x
    x = 192,218,841,234.25/647,251.89
  6. Step 6: Final answer
    x = 296,976.87

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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.