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Finding the Fourth Proportional to 442,286.60, 663,037.11 and 172,352.21

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Solution

The fourth proportional to 442,286.60, 663,037.11 and 172,352.21 is: 258,375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,286.60 : 663,037.11 = 172,352.21 : x
  2. Step 2: Convert to fraction form
    442,286.60/663,037.11 = 172,352.21/x
  3. Step 3: Cross multiply
    442,286.60x = 663,037.11 × 172,352.21
  4. Step 4: Simplify right side
    442,286.60x = 114,275,907,905.33
  5. Step 5: Solve for x
    x = 114,275,907,905.33/442,286.60
  6. Step 6: Final answer
    x = 258,375.25

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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.