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Finding the Fourth Proportional to 396,714.60, 595,655.10 and 278,908.20

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Solution

The fourth proportional to 396,714.60, 595,655.10 and 278,908.20 is: 418,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,714.60 : 595,655.10 = 278,908.20 : x
  2. Step 2: Convert to fraction form
    396,714.60/595,655.10 = 278,908.20/x
  3. Step 3: Cross multiply
    396,714.60x = 595,655.10 × 278,908.20
  4. Step 4: Simplify right side
    396,714.60x = 166,133,091,761.82
  5. Step 5: Solve for x
    x = 166,133,091,761.82/396,714.60
  6. Step 6: Final answer
    x = 418,772.32

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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.