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Finding the Fourth Proportional to 271,856.80, 407,785.20 and 177,378.40

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Solution

The fourth proportional to 271,856.80, 407,785.20 and 177,378.40 is: 266,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,856.80 : 407,785.20 = 177,378.40 : x
  2. Step 2: Convert to fraction form
    271,856.80/407,785.20 = 177,378.40/x
  3. Step 3: Cross multiply
    271,856.80x = 407,785.20 × 177,378.40
  4. Step 4: Simplify right side
    271,856.80x = 72,332,286,319.68
  5. Step 5: Solve for x
    x = 72,332,286,319.68/271,856.80
  6. Step 6: Final answer
    x = 266,067.60

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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.