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Finding the Fourth Proportional to 478,198.20, 658,791.06 and 332,753.87

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Solution

The fourth proportional to 478,198.20, 658,791.06 and 332,753.87 is: 458,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,198.20 : 658,791.06 = 332,753.87 : x
  2. Step 2: Convert to fraction form
    478,198.20/658,791.06 = 332,753.87/x
  3. Step 3: Cross multiply
    478,198.20x = 658,791.06 × 332,753.87
  4. Step 4: Simplify right side
    478,198.20x = 219,215,271,442.45
  5. Step 5: Solve for x
    x = 219,215,271,442.45/478,198.20
  6. Step 6: Final answer
    x = 458,419.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.