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Finding the Fourth Proportional to 306,379.64, 422,797.82 and 170,410.66

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Solution

The fourth proportional to 306,379.64, 422,797.82 and 170,410.66 is: 235,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,379.64 : 422,797.82 = 170,410.66 : x
  2. Step 2: Convert to fraction form
    306,379.64/422,797.82 = 170,410.66/x
  3. Step 3: Cross multiply
    306,379.64x = 422,797.82 × 170,410.66
  4. Step 4: Simplify right side
    306,379.64x = 72,049,252,586.72
  5. Step 5: Solve for x
    x = 72,049,252,586.72/306,379.64
  6. Step 6: Final answer
    x = 235,163.32

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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.