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Finding the Fourth Proportional to 609,204, 840,584.82 and 394,314.24

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Solution

The fourth proportional to 609,204, 840,584.82 and 394,314.24 is: 544,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,204 : 840,584.82 = 394,314.24 : x
  2. Step 2: Convert to fraction form
    609,204/840,584.82 = 394,314.24/x
  3. Step 3: Cross multiply
    609,204x = 840,584.82 × 394,314.24
  4. Step 4: Simplify right side
    609,204x = 331,454,564,453.84
  5. Step 5: Solve for x
    x = 331,454,564,453.84/609,204
  6. Step 6: Final answer
    x = 544,078.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.