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Finding the Fourth Proportional to 306,062.56, 422,339.43 and 170,087.95

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Solution

The fourth proportional to 306,062.56, 422,339.43 and 170,087.95 is: 234,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,062.56 : 422,339.43 = 170,087.95 : x
  2. Step 2: Convert to fraction form
    306,062.56/422,339.43 = 170,087.95/x
  3. Step 3: Cross multiply
    306,062.56x = 422,339.43 × 170,087.95
  4. Step 4: Simplify right side
    306,062.56x = 71,834,847,852.87
  5. Step 5: Solve for x
    x = 71,834,847,852.87/306,062.56
  6. Step 6: Final answer
    x = 234,706.42

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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.