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Finding the Fourth Proportional to 285,978.71, 394,685.62 and 165,119.80

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Solution

The fourth proportional to 285,978.71, 394,685.62 and 165,119.80 is: 227,885.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,978.71 : 394,685.62 = 165,119.80 : x
  2. Step 2: Convert to fraction form
    285,978.71/394,685.62 = 165,119.80/x
  3. Step 3: Cross multiply
    285,978.71x = 394,685.62 × 165,119.80
  4. Step 4: Simplify right side
    285,978.71x = 65,170,408,663.85
  5. Step 5: Solve for x
    x = 65,170,408,663.85/285,978.71
  6. Step 6: Final answer
    x = 227,885.53

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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.