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Finding the Fourth Proportional to 270,425.08, 405,282.60 and 199,013.32

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Solution

The fourth proportional to 270,425.08, 405,282.60 and 199,013.32 is: 298,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,425.08 : 405,282.60 = 199,013.32 : x
  2. Step 2: Convert to fraction form
    270,425.08/405,282.60 = 199,013.32/x
  3. Step 3: Cross multiply
    270,425.08x = 405,282.60 × 199,013.32
  4. Step 4: Simplify right side
    270,425.08x = 80,656,635,764.23
  5. Step 5: Solve for x
    x = 80,656,635,764.23/270,425.08
  6. Step 6: Final answer
    x = 298,258.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.