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Finding the Fourth Proportional to 321,262.47, 481,954.52 and 129,151.77

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Solution

The fourth proportional to 321,262.47, 481,954.52 and 129,151.77 is: 193,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,262.47 : 481,954.52 = 129,151.77 : x
  2. Step 2: Convert to fraction form
    321,262.47/481,954.52 = 129,151.77/x
  3. Step 3: Cross multiply
    321,262.47x = 481,954.52 × 129,151.77
  4. Step 4: Simplify right side
    321,262.47x = 62,245,277,833.05
  5. Step 5: Solve for x
    x = 62,245,277,833.05/321,262.47
  6. Step 6: Final answer
    x = 193,752.10

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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.