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Finding the Fourth Proportional to 378,794.52, 568,044.12 and 142,008

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Solution

The fourth proportional to 378,794.52, 568,044.12 and 142,008 is: 212,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,794.52 : 568,044.12 = 142,008 : x
  2. Step 2: Convert to fraction form
    378,794.52/568,044.12 = 142,008/x
  3. Step 3: Cross multiply
    378,794.52x = 568,044.12 × 142,008
  4. Step 4: Simplify right side
    378,794.52x = 80,666,809,392.96
  5. Step 5: Solve for x
    x = 80,666,809,392.96/378,794.52
  6. Step 6: Final answer
    x = 212,956.64

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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.