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Finding the Fourth Proportional to 394,744.68, 592,194.78 and 145,428.84

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Solution

The fourth proportional to 394,744.68, 592,194.78 and 145,428.84 is: 218,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,744.68 : 592,194.78 = 145,428.84 : x
  2. Step 2: Convert to fraction form
    394,744.68/592,194.78 = 145,428.84/x
  3. Step 3: Cross multiply
    394,744.68x = 592,194.78 × 145,428.84
  4. Step 4: Simplify right side
    394,744.68x = 86,122,199,909.46
  5. Step 5: Solve for x
    x = 86,122,199,909.46/394,744.68
  6. Step 6: Final answer
    x = 218,171.91

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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.