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Finding the Fourth Proportional to 378,793.52, 568,042.62 and 142,007

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Solution

The fourth proportional to 378,793.52, 568,042.62 and 142,007 is: 212,955.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,793.52 : 568,042.62 = 142,007 : x
  2. Step 2: Convert to fraction form
    378,793.52/568,042.62 = 142,007/x
  3. Step 3: Cross multiply
    378,793.52x = 568,042.62 × 142,007
  4. Step 4: Simplify right side
    378,793.52x = 80,666,028,338.34
  5. Step 5: Solve for x
    x = 80,666,028,338.34/378,793.52
  6. Step 6: Final answer
    x = 212,955.14

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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.