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Finding the Fourth Proportional to 311,231.12, 466,748.76 and 100,820.24

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Solution

The fourth proportional to 311,231.12, 466,748.76 and 100,820.24 is: 151,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,231.12 : 466,748.76 = 100,820.24 : x
  2. Step 2: Convert to fraction form
    311,231.12/466,748.76 = 100,820.24/x
  3. Step 3: Cross multiply
    311,231.12x = 466,748.76 × 100,820.24
  4. Step 4: Simplify right side
    311,231.12x = 47,057,722,002.90
  5. Step 5: Solve for x
    x = 47,057,722,002.90/311,231.12
  6. Step 6: Final answer
    x = 151,198.64

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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.