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Finding the Fourth Proportional to 611,701, 917,046.31 and 269,901.07

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Solution

The fourth proportional to 611,701, 917,046.31 and 269,901.07 is: 404,628.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,701 : 917,046.31 = 269,901.07 : x
  2. Step 2: Convert to fraction form
    611,701/917,046.31 = 269,901.07/x
  3. Step 3: Cross multiply
    611,701x = 917,046.31 × 269,901.07
  4. Step 4: Simplify right side
    611,701x = 247,511,780,308.55
  5. Step 5: Solve for x
    x = 247,511,780,308.55/611,701
  6. Step 6: Final answer
    x = 404,628.70

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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.