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Finding the Fourth Proportional to 285,978.35, 394,486.15 and 178,361.55

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Solution

The fourth proportional to 285,978.35, 394,486.15 and 178,361.55 is: 246,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,978.35 : 394,486.15 = 178,361.55 : x
  2. Step 2: Convert to fraction form
    285,978.35/394,486.15 = 178,361.55/x
  3. Step 3: Cross multiply
    285,978.35x = 394,486.15 × 178,361.55
  4. Step 4: Simplify right side
    285,978.35x = 70,361,161,167.53
  5. Step 5: Solve for x
    x = 70,361,161,167.53/285,978.35
  6. Step 6: Final answer
    x = 246,036.67

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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.