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Finding the Fourth Proportional to 306,172.35, 422,524.89 and 170,201.12

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Solution

The fourth proportional to 306,172.35, 422,524.89 and 170,201.12 is: 234,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,172.35 : 422,524.89 = 170,201.12 : x
  2. Step 2: Convert to fraction form
    306,172.35/422,524.89 = 170,201.12/x
  3. Step 3: Cross multiply
    306,172.35x = 422,524.89 × 170,201.12
  4. Step 4: Simplify right side
    306,172.35x = 71,914,207,393.25
  5. Step 5: Solve for x
    x = 71,914,207,393.25/306,172.35
  6. Step 6: Final answer
    x = 234,881.46

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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.