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Finding the Fourth Proportional to 283,229.87, 424,917.90 and 105,738.21

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Solution

The fourth proportional to 283,229.87, 424,917.90 and 105,738.21 is: 158,634.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,229.87 : 424,917.90 = 105,738.21 : x
  2. Step 2: Convert to fraction form
    283,229.87/424,917.90 = 105,738.21/x
  3. Step 3: Cross multiply
    283,229.87x = 424,917.90 × 105,738.21
  4. Step 4: Simplify right side
    283,229.87x = 44,930,058,142.96
  5. Step 5: Solve for x
    x = 44,930,058,142.96/283,229.87
  6. Step 6: Final answer
    x = 158,634.61

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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.