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Finding the Fourth Proportional to 493,998.56, 738,968.02 and 394,353.38

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Solution

The fourth proportional to 493,998.56, 738,968.02 and 394,353.38 is: 589,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,998.56 : 738,968.02 = 394,353.38 : x
  2. Step 2: Convert to fraction form
    493,998.56/738,968.02 = 394,353.38/x
  3. Step 3: Cross multiply
    493,998.56x = 738,968.02 × 394,353.38
  4. Step 4: Simplify right side
    493,998.56x = 291,414,536,398.91
  5. Step 5: Solve for x
    x = 291,414,536,398.91/493,998.56
  6. Step 6: Final answer
    x = 589,909.69

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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.