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Finding the Fourth Proportional to 321,089.73, 481,731.77 and 121,471.30

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Solution

The fourth proportional to 321,089.73, 481,731.77 and 121,471.30 is: 182,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,089.73 : 481,731.77 = 121,471.30 : x
  2. Step 2: Convert to fraction form
    321,089.73/481,731.77 = 121,471.30/x
  3. Step 3: Cross multiply
    321,089.73x = 481,731.77 × 121,471.30
  4. Step 4: Simplify right side
    321,089.73x = 58,516,584,353.20
  5. Step 5: Solve for x
    x = 58,516,584,353.20/321,089.73
  6. Step 6: Final answer
    x = 182,243.71

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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.