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Finding the Fourth Proportional to 225,380.84, 311,024.42 and 123,404.45

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Solution

The fourth proportional to 225,380.84, 311,024.42 and 123,404.45 is: 170,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,380.84 : 311,024.42 = 123,404.45 : x
  2. Step 2: Convert to fraction form
    225,380.84/311,024.42 = 123,404.45/x
  3. Step 3: Cross multiply
    225,380.84x = 311,024.42 × 123,404.45
  4. Step 4: Simplify right side
    225,380.84x = 38,381,795,314.52
  5. Step 5: Solve for x
    x = 38,381,795,314.52/225,380.84
  6. Step 6: Final answer
    x = 170,297.51

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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.