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Finding the Fourth Proportional to 310,485,409, 428,462,353.56 and 171,253,180.60

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Solution

The fourth proportional to 310,485,409, 428,462,353.56 and 171,253,180.60 is: 236,325,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,485,409 : 428,462,353.56 = 171,253,180.60 : x
  2. Step 2: Convert to fraction form
    310,485,409/428,462,353.56 = 171,253,180.60/x
  3. Step 3: Cross multiply
    310,485,409x = 428,462,353.56 × 171,253,180.60
  4. Step 4: Simplify right side
    310,485,409x = 73,375,540,814,511,728
  5. Step 5: Solve for x
    x = 73,375,540,814,511,728/310,485,409
  6. Step 6: Final answer
    x = 236,325,246.49

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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.