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Finding the Fourth Proportional to 300,579.86, 450,938.92 and 90,221.78

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Solution

The fourth proportional to 300,579.86, 450,938.92 and 90,221.78 is: 135,353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,579.86 : 450,938.92 = 90,221.78 : x
  2. Step 2: Convert to fraction form
    300,579.86/450,938.92 = 90,221.78/x
  3. Step 3: Cross multiply
    300,579.86x = 450,938.92 × 90,221.78
  4. Step 4: Simplify right side
    300,579.86x = 40,684,512,033.68
  5. Step 5: Solve for x
    x = 40,684,512,033.68/300,579.86
  6. Step 6: Final answer
    x = 135,353.42

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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.