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Finding the Fourth Proportional to 225,310.01, 310,928.09 and 140,427

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Solution

The fourth proportional to 225,310.01, 310,928.09 and 140,427 is: 193,789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,310.01 : 310,928.09 = 140,427 : x
  2. Step 2: Convert to fraction form
    225,310.01/310,928.09 = 140,427/x
  3. Step 3: Cross multiply
    225,310.01x = 310,928.09 × 140,427
  4. Step 4: Simplify right side
    225,310.01x = 43,662,698,192.30
  5. Step 5: Solve for x
    x = 43,662,698,192.30/225,310.01
  6. Step 6: Final answer
    x = 193,789.43

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1.5x scale

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.