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Finding the Fourth Proportional to 394,252.40, 591,232.80 and 128,021.60

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Solution

The fourth proportional to 394,252.40, 591,232.80 and 128,021.60 is: 191,985.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,252.40 : 591,232.80 = 128,021.60 : x
  2. Step 2: Convert to fraction form
    394,252.40/591,232.80 = 128,021.60/x
  3. Step 3: Cross multiply
    394,252.40x = 591,232.80 × 128,021.60
  4. Step 4: Simplify right side
    394,252.40x = 75,690,569,028.48
  5. Step 5: Solve for x
    x = 75,690,569,028.48/394,252.40
  6. Step 6: Final answer
    x = 191,985.06

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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.