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Finding the Fourth Proportional to 394,976.94, 592,188.93 and 145,591.98

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Solution

The fourth proportional to 394,976.94, 592,188.93 and 145,591.98 is: 218,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,976.94 : 592,188.93 = 145,591.98 : x
  2. Step 2: Convert to fraction form
    394,976.94/592,188.93 = 145,591.98/x
  3. Step 3: Cross multiply
    394,976.94x = 592,188.93 × 145,591.98
  4. Step 4: Simplify right side
    394,976.94x = 86,217,958,852.78
  5. Step 5: Solve for x
    x = 86,217,958,852.78/394,976.94
  6. Step 6: Final answer
    x = 218,286.06

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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.