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Finding the Fourth Proportional to 225,612.93, 311,487.41 and 145,180.23

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Solution

The fourth proportional to 225,612.93, 311,487.41 and 145,180.23 is: 200,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,612.93 : 311,487.41 = 145,180.23 : x
  2. Step 2: Convert to fraction form
    225,612.93/311,487.41 = 145,180.23/x
  3. Step 3: Cross multiply
    225,612.93x = 311,487.41 × 145,180.23
  4. Step 4: Simplify right side
    225,612.93x = 45,221,813,825.90
  5. Step 5: Solve for x
    x = 45,221,813,825.90/225,612.93
  6. Step 6: Final answer
    x = 200,439.81

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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.