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Finding the Fourth Proportional to 311,202.76, 466,770.12 and 100,784.20

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Solution

The fourth proportional to 311,202.76, 466,770.12 and 100,784.20 is: 151,165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,202.76 : 466,770.12 = 100,784.20 : x
  2. Step 2: Convert to fraction form
    311,202.76/466,770.12 = 100,784.20/x
  3. Step 3: Cross multiply
    311,202.76x = 466,770.12 × 100,784.20
  4. Step 4: Simplify right side
    311,202.76x = 47,043,053,128.10
  5. Step 5: Solve for x
    x = 47,043,053,128.10/311,202.76
  6. Step 6: Final answer
    x = 151,165.28

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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.