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Finding the Fourth Proportional to 611,382.87, 843,734.71 and 339,450.78

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Solution

The fourth proportional to 611,382.87, 843,734.71 and 339,450.78 is: 468,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,382.87 : 843,734.71 = 339,450.78 : x
  2. Step 2: Convert to fraction form
    611,382.87/843,734.71 = 339,450.78/x
  3. Step 3: Cross multiply
    611,382.87x = 843,734.71 × 339,450.78
  4. Step 4: Simplify right side
    611,382.87x = 286,406,405,422.57
  5. Step 5: Solve for x
    x = 286,406,405,422.57/611,382.87
  6. Step 6: Final answer
    x = 468,456.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.