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Finding the Fourth Proportional to 263,138.70, 394,416.45 and 144,894.90

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Solution

The fourth proportional to 263,138.70, 394,416.45 and 144,894.90 is: 217,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,138.70 : 394,416.45 = 144,894.90 : x
  2. Step 2: Convert to fraction form
    263,138.70/394,416.45 = 144,894.90/x
  3. Step 3: Cross multiply
    263,138.70x = 394,416.45 × 144,894.90
  4. Step 4: Simplify right side
    263,138.70x = 57,148,932,081.11
  5. Step 5: Solve for x
    x = 57,148,932,081.11/263,138.70
  6. Step 6: Final answer
    x = 217,181.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.