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Finding the Fourth Proportional to 311,321.85, 466,982.78 and 100,957.05

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Solution

The fourth proportional to 311,321.85, 466,982.78 and 100,957.05 is: 151,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,321.85 : 466,982.78 = 100,957.05 : x
  2. Step 2: Convert to fraction form
    311,321.85/466,982.78 = 100,957.05/x
  3. Step 3: Cross multiply
    311,321.85x = 466,982.78 × 100,957.05
  4. Step 4: Simplify right side
    311,321.85x = 47,145,203,364.81
  5. Step 5: Solve for x
    x = 47,145,203,364.81/311,321.85
  6. Step 6: Final answer
    x = 151,435.58

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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.