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Finding the Fourth Proportional to 285,611.55, 394,130.15 and 164,791.80

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Solution

The fourth proportional to 285,611.55, 394,130.15 and 164,791.80 is: 227,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,611.55 : 394,130.15 = 164,791.80 : x
  2. Step 2: Convert to fraction form
    285,611.55/394,130.15 = 164,791.80/x
  3. Step 3: Cross multiply
    285,611.55x = 394,130.15 × 164,791.80
  4. Step 4: Simplify right side
    285,611.55x = 64,949,416,028.81
  5. Step 5: Solve for x
    x = 64,949,416,028.81/285,611.55
  6. Step 6: Final answer
    x = 227,404.73

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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.