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Finding the Fourth Proportional to 477,014.92, 658,136.90 and 285,958.60

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Solution

The fourth proportional to 477,014.92, 658,136.90 and 285,958.60 is: 394,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,014.92 : 658,136.90 = 285,958.60 : x
  2. Step 2: Convert to fraction form
    477,014.92/658,136.90 = 285,958.60/x
  3. Step 3: Cross multiply
    477,014.92x = 658,136.90 × 285,958.60
  4. Step 4: Simplify right side
    477,014.92x = 188,199,906,532.34
  5. Step 5: Solve for x
    x = 188,199,906,532.34/477,014.92
  6. Step 6: Final answer
    x = 394,536.73

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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.