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Finding the Fourth Proportional to 280,363.92, 386,945.82 and 165,654.96

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Solution

The fourth proportional to 280,363.92, 386,945.82 and 165,654.96 is: 228,629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,363.92 : 386,945.82 = 165,654.96 : x
  2. Step 2: Convert to fraction form
    280,363.92/386,945.82 = 165,654.96/x
  3. Step 3: Cross multiply
    280,363.92x = 386,945.82 × 165,654.96
  4. Step 4: Simplify right side
    280,363.92x = 64,099,494,334.27
  5. Step 5: Solve for x
    x = 64,099,494,334.27/280,363.92
  6. Step 6: Final answer
    x = 228,629.61

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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.