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Finding the Fourth Proportional to 300,319.76, 450,165.81 and 100,475.75

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Solution

The fourth proportional to 300,319.76, 450,165.81 and 100,475.75 is: 150,608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,319.76 : 450,165.81 = 100,475.75 : x
  2. Step 2: Convert to fraction form
    300,319.76/450,165.81 = 100,475.75/x
  3. Step 3: Cross multiply
    300,319.76x = 450,165.81 × 100,475.75
  4. Step 4: Simplify right side
    300,319.76x = 45,230,747,384.11
  5. Step 5: Solve for x
    x = 45,230,747,384.11/300,319.76
  6. Step 6: Final answer
    x = 150,608.63

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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.