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Finding the Fourth Proportional to 285,841.17, 394,432.37 and 165,021.45

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Solution

The fourth proportional to 285,841.17, 394,432.37 and 165,021.45 is: 227,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,841.17 : 394,432.37 = 165,021.45 : x
  2. Step 2: Convert to fraction form
    285,841.17/394,432.37 = 165,021.45/x
  3. Step 3: Cross multiply
    285,841.17x = 394,432.37 × 165,021.45
  4. Step 4: Simplify right side
    285,841.17x = 65,089,800,799.23
  5. Step 5: Solve for x
    x = 65,089,800,799.23/285,841.17
  6. Step 6: Final answer
    x = 227,713.18

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1.5x scale

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.