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Finding the Fourth Proportional to 397,755.89, 548,892.60 and 216,463.92

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Solution

The fourth proportional to 397,755.89, 548,892.60 and 216,463.92 is: 298,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,755.89 : 548,892.60 = 216,463.92 : x
  2. Step 2: Convert to fraction form
    397,755.89/548,892.60 = 216,463.92/x
  3. Step 3: Cross multiply
    397,755.89x = 548,892.60 × 216,463.92
  4. Step 4: Simplify right side
    397,755.89x = 118,815,443,854.99
  5. Step 5: Solve for x
    x = 118,815,443,854.99/397,755.89
  6. Step 6: Final answer
    x = 298,714.48

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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.