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Finding the Fourth Proportional to 442,956.30, 664,434.45 and 419,628.30

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Solution

The fourth proportional to 442,956.30, 664,434.45 and 419,628.30 is: 629,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,956.30 : 664,434.45 = 419,628.30 : x
  2. Step 2: Convert to fraction form
    442,956.30/664,434.45 = 419,628.30/x
  3. Step 3: Cross multiply
    442,956.30x = 664,434.45 × 419,628.30
  4. Step 4: Simplify right side
    442,956.30x = 278,815,498,714.94
  5. Step 5: Solve for x
    x = 278,815,498,714.94/442,956.30
  6. Step 6: Final answer
    x = 629,442.45

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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.