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Finding the Fourth Proportional to 494,443.38, 739,633.86 and 394,798.20

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Solution

The fourth proportional to 494,443.38, 739,633.86 and 394,798.20 is: 590,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,443.38 : 739,633.86 = 394,798.20 : x
  2. Step 2: Convert to fraction form
    494,443.38/739,633.86 = 394,798.20/x
  3. Step 3: Cross multiply
    494,443.38x = 739,633.86 × 394,798.20
  4. Step 4: Simplify right side
    494,443.38x = 292,006,116,587.05
  5. Step 5: Solve for x
    x = 292,006,116,587.05/494,443.38
  6. Step 6: Final answer
    x = 590,575.44

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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.