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Finding the Fourth Proportional to 394,491.10, 591,736.65 and 364,078.30

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Solution

The fourth proportional to 394,491.10, 591,736.65 and 364,078.30 is: 546,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,491.10 : 591,736.65 = 364,078.30 : x
  2. Step 2: Convert to fraction form
    394,491.10/591,736.65 = 364,078.30/x
  3. Step 3: Cross multiply
    394,491.10x = 591,736.65 × 364,078.30
  4. Step 4: Simplify right side
    394,491.10x = 215,438,473,579.70
  5. Step 5: Solve for x
    x = 215,438,473,579.70/394,491.10
  6. Step 6: Final answer
    x = 546,117.45

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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.