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Finding the Fourth Proportional to 300,308.64, 450,149.10 and 100,464.63

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Solution

The fourth proportional to 300,308.64, 450,149.10 and 100,464.63 is: 150,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,308.64 : 450,149.10 = 100,464.63 : x
  2. Step 2: Convert to fraction form
    300,308.64/450,149.10 = 100,464.63/x
  3. Step 3: Cross multiply
    300,308.64x = 450,149.10 × 100,464.63
  4. Step 4: Simplify right side
    300,308.64x = 45,224,062,776.33
  5. Step 5: Solve for x
    x = 45,224,062,776.33/300,308.64
  6. Step 6: Final answer
    x = 150,591.95

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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.