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Finding the Fourth Proportional to 667,714.45, 921,446.87 and 361,794.16

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Solution

The fourth proportional to 667,714.45, 921,446.87 and 361,794.16 is: 499,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,714.45 : 921,446.87 = 361,794.16 : x
  2. Step 2: Convert to fraction form
    667,714.45/921,446.87 = 361,794.16/x
  3. Step 3: Cross multiply
    667,714.45x = 921,446.87 × 361,794.16
  4. Step 4: Simplify right side
    667,714.45x = 333,374,096,316.28
  5. Step 5: Solve for x
    x = 333,374,096,316.28/667,714.45
  6. Step 6: Final answer
    x = 499,276.44

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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.