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Finding the Fourth Proportional to 394,429.60, 591,730.80 and 128,144.80

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Solution

The fourth proportional to 394,429.60, 591,730.80 and 128,144.80 is: 192,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,429.60 : 591,730.80 = 128,144.80 : x
  2. Step 2: Convert to fraction form
    394,429.60/591,730.80 = 128,144.80/x
  3. Step 3: Cross multiply
    394,429.60x = 591,730.80 × 128,144.80
  4. Step 4: Simplify right side
    394,429.60x = 75,827,225,019.84
  5. Step 5: Solve for x
    x = 75,827,225,019.84/394,429.60
  6. Step 6: Final answer
    x = 192,245.27

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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.