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Finding the Fourth Proportional to 285,984.54, 394,676.55 and 165,147.93

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Solution

The fourth proportional to 285,984.54, 394,676.55 and 165,147.93 is: 227,914.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,984.54 : 394,676.55 = 165,147.93 : x
  2. Step 2: Convert to fraction form
    285,984.54/394,676.55 = 165,147.93/x
  3. Step 3: Cross multiply
    285,984.54x = 394,676.55 × 165,147.93
  4. Step 4: Simplify right side
    285,984.54x = 65,180,015,252.04
  5. Step 5: Solve for x
    x = 65,180,015,252.04/285,984.54
  6. Step 6: Final answer
    x = 227,914.47

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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.