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Finding the Fourth Proportional to 422,797.46, 634,190.72 and 102,949.92

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Solution

The fourth proportional to 422,797.46, 634,190.72 and 102,949.92 is: 154,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,797.46 : 634,190.72 = 102,949.92 : x
  2. Step 2: Convert to fraction form
    422,797.46/634,190.72 = 102,949.92/x
  3. Step 3: Cross multiply
    422,797.46x = 634,190.72 × 102,949.92
  4. Step 4: Simplify right side
    422,797.46x = 65,289,883,373.99
  5. Step 5: Solve for x
    x = 65,289,883,373.99/422,797.46
  6. Step 6: Final answer
    x = 154,423.55

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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.