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Finding the Fourth Proportional to 812,718, 1,218,979.94 and 213,725.82

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Solution

The fourth proportional to 812,718, 1,218,979.94 and 213,725.82 is: 320,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,718 : 1,218,979.94 = 213,725.82 : x
  2. Step 2: Convert to fraction form
    812,718/1,218,979.94 = 213,725.82/x
  3. Step 3: Cross multiply
    812,718x = 1,218,979.94 × 213,725.82
  4. Step 4: Simplify right side
    812,718x = 260,527,487,240.05
  5. Step 5: Solve for x
    x = 260,527,487,240.05/812,718
  6. Step 6: Final answer
    x = 320,563.21

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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.