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Finding the Fourth Proportional to 270,691.28, 405,897.01 and 118,826.20

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Solution

The fourth proportional to 270,691.28, 405,897.01 and 118,826.20 is: 178,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,691.28 : 405,897.01 = 118,826.20 : x
  2. Step 2: Convert to fraction form
    270,691.28/405,897.01 = 118,826.20/x
  3. Step 3: Cross multiply
    270,691.28x = 405,897.01 × 118,826.20
  4. Step 4: Simplify right side
    270,691.28x = 48,231,199,289.66
  5. Step 5: Solve for x
    x = 48,231,199,289.66/270,691.28
  6. Step 6: Final answer
    x = 178,177.88

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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.