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Finding the Fourth Proportional to 280,328, 420,553.44 and 105,224

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Solution

The fourth proportional to 280,328, 420,553.44 and 105,224 is: 157,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,328 : 420,553.44 = 105,224 : x
  2. Step 2: Convert to fraction form
    280,328/420,553.44 = 105,224/x
  3. Step 3: Cross multiply
    280,328x = 420,553.44 × 105,224
  4. Step 4: Simplify right side
    280,328x = 44,252,315,170.56
  5. Step 5: Solve for x
    x = 44,252,315,170.56/280,328
  6. Step 6: Final answer
    x = 157,859.06

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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.