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Finding the Fourth Proportional to 225,361.74, 311,209.90 and 144,928.92

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Solution

The fourth proportional to 225,361.74, 311,209.90 and 144,928.92 is: 200,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,361.74 : 311,209.90 = 144,928.92 : x
  2. Step 2: Convert to fraction form
    225,361.74/311,209.90 = 144,928.92/x
  3. Step 3: Cross multiply
    225,361.74x = 311,209.90 × 144,928.92
  4. Step 4: Simplify right side
    225,361.74x = 45,103,314,700.31
  5. Step 5: Solve for x
    x = 45,103,314,700.31/225,361.74
  6. Step 6: Final answer
    x = 200,137.41

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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.