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Finding the Fourth Proportional to 321,756.89, 482,446.07 and 122,091.31

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Solution

The fourth proportional to 321,756.89, 482,446.07 and 122,091.31 is: 183,065.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,756.89 : 482,446.07 = 122,091.31 : x
  2. Step 2: Convert to fraction form
    321,756.89/482,446.07 = 122,091.31/x
  3. Step 3: Cross multiply
    321,756.89x = 482,446.07 × 122,091.31
  4. Step 4: Simplify right side
    321,756.89x = 58,902,471,789.76
  5. Step 5: Solve for x
    x = 58,902,471,789.76/321,756.89
  6. Step 6: Final answer
    x = 183,065.15

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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.