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Finding the Fourth Proportional to 287,787.70, 431,435.41 and 110,422

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Solution

The fourth proportional to 287,787.70, 431,435.41 and 110,422 is: 165,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,787.70 : 431,435.41 = 110,422 : x
  2. Step 2: Convert to fraction form
    287,787.70/431,435.41 = 110,422/x
  3. Step 3: Cross multiply
    287,787.70x = 431,435.41 × 110,422
  4. Step 4: Simplify right side
    287,787.70x = 47,639,960,843.02
  5. Step 5: Solve for x
    x = 47,639,960,843.02/287,787.70
  6. Step 6: Final answer
    x = 165,538.56

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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.