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Finding the Fourth Proportional to 394,491.42, 591,836.49 and 114,006.78

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Solution

The fourth proportional to 394,491.42, 591,836.49 and 114,006.78 is: 171,038.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,491.42 : 591,836.49 = 114,006.78 : x
  2. Step 2: Convert to fraction form
    394,491.42/591,836.49 = 114,006.78/x
  3. Step 3: Cross multiply
    394,491.42x = 591,836.49 × 114,006.78
  4. Step 4: Simplify right side
    394,491.42x = 67,473,372,511.40
  5. Step 5: Solve for x
    x = 67,473,372,511.40/394,491.42
  6. Step 6: Final answer
    x = 171,038.88

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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.