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Finding the Fourth Proportional to 492,869.73, 739,304.82 and 208,486.56

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Solution

The fourth proportional to 492,869.73, 739,304.82 and 208,486.56 is: 312,729.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,869.73 : 739,304.82 = 208,486.56 : x
  2. Step 2: Convert to fraction form
    492,869.73/739,304.82 = 208,486.56/x
  3. Step 3: Cross multiply
    492,869.73x = 739,304.82 × 208,486.56
  4. Step 4: Simplify right side
    492,869.73x = 154,135,118,713.22
  5. Step 5: Solve for x
    x = 154,135,118,713.22/492,869.73
  6. Step 6: Final answer
    x = 312,729.94

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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.