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Finding the Fourth Proportional to 286,149.78, 394,935.60 and 165,269.34

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Solution

The fourth proportional to 286,149.78, 394,935.60 and 165,269.34 is: 228,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,149.78 : 394,935.60 = 165,269.34 : x
  2. Step 2: Convert to fraction form
    286,149.78/394,935.60 = 165,269.34/x
  3. Step 3: Cross multiply
    286,149.78x = 394,935.60 × 165,269.34
  4. Step 4: Simplify right side
    286,149.78x = 65,270,745,954.50
  5. Step 5: Solve for x
    x = 65,270,745,954.50/286,149.78
  6. Step 6: Final answer
    x = 228,099.93

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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.