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Finding the Fourth Proportional to 306,379.13, 422,797.13 and 170,410.16

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Solution

The fourth proportional to 306,379.13, 422,797.13 and 170,410.16 is: 235,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,379.13 : 422,797.13 = 170,410.16 : x
  2. Step 2: Convert to fraction form
    306,379.13/422,797.13 = 170,410.16/x
  3. Step 3: Cross multiply
    306,379.13x = 422,797.13 × 170,410.16
  4. Step 4: Simplify right side
    306,379.13x = 72,048,923,604.80
  5. Step 5: Solve for x
    x = 72,048,923,604.80/306,379.13
  6. Step 6: Final answer
    x = 235,162.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.