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Finding the Fourth Proportional to 306,110, 422,431.36 and 170,156.59

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Solution

The fourth proportional to 306,110, 422,431.36 and 170,156.59 is: 234,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,110 : 422,431.36 = 170,156.59 : x
  2. Step 2: Convert to fraction form
    306,110/422,431.36 = 170,156.59/x
  3. Step 3: Cross multiply
    306,110x = 422,431.36 × 170,156.59
  4. Step 4: Simplify right side
    306,110x = 71,879,479,726.66
  5. Step 5: Solve for x
    x = 71,879,479,726.66/306,110
  6. Step 6: Final answer
    x = 234,815.85

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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.