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Finding the Fourth Proportional to 306,196.88, 422,527.70 and 170,222.54

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Solution

The fourth proportional to 306,196.88, 422,527.70 and 170,222.54 is: 234,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,196.88 : 422,527.70 = 170,222.54 : x
  2. Step 2: Convert to fraction form
    306,196.88/422,527.70 = 170,222.54/x
  3. Step 3: Cross multiply
    306,196.88x = 422,527.70 × 170,222.54
  4. Step 4: Simplify right side
    306,196.88x = 71,923,736,627.28
  5. Step 5: Solve for x
    x = 71,923,736,627.28/306,196.88
  6. Step 6: Final answer
    x = 234,893.76

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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.