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Finding the Fourth Proportional to 300,738.86, 450,825.73 and 100,919.11

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Solution

The fourth proportional to 300,738.86, 450,825.73 and 100,919.11 is: 151,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,738.86 : 450,825.73 = 100,919.11 : x
  2. Step 2: Convert to fraction form
    300,738.86/450,825.73 = 100,919.11/x
  3. Step 3: Cross multiply
    300,738.86x = 450,825.73 × 100,919.11
  4. Step 4: Simplify right side
    300,738.86x = 45,496,931,436.70
  5. Step 5: Solve for x
    x = 45,496,931,436.70/300,738.86
  6. Step 6: Final answer
    x = 151,283.85

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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.