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Finding the Fourth Proportional to 455,697.47, 682,951.66 and 329,761.91

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Solution

The fourth proportional to 455,697.47, 682,951.66 and 329,761.91 is: 494,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,697.47 : 682,951.66 = 329,761.91 : x
  2. Step 2: Convert to fraction form
    455,697.47/682,951.66 = 329,761.91/x
  3. Step 3: Cross multiply
    455,697.47x = 682,951.66 × 329,761.91
  4. Step 4: Simplify right side
    455,697.47x = 225,211,443,839.27
  5. Step 5: Solve for x
    x = 225,211,443,839.27/455,697.47
  6. Step 6: Final answer
    x = 494,212.63

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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.