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Finding the Fourth Proportional to 300,756, 451,134 and 90,394.14

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Solution

The fourth proportional to 300,756, 451,134 and 90,394.14 is: 135,591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,756 : 451,134 = 90,394.14 : x
  2. Step 2: Convert to fraction form
    300,756/451,134 = 90,394.14/x
  3. Step 3: Cross multiply
    300,756x = 451,134 × 90,394.14
  4. Step 4: Simplify right side
    300,756x = 40,779,869,954.76
  5. Step 5: Solve for x
    x = 40,779,869,954.76/300,756
  6. Step 6: Final answer
    x = 135,591.21

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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.