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Finding the Fourth Proportional to 306,469.20, 458,850.60 and 156,385.20

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Solution

The fourth proportional to 306,469.20, 458,850.60 and 156,385.20 is: 234,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,469.20 : 458,850.60 = 156,385.20 : x
  2. Step 2: Convert to fraction form
    306,469.20/458,850.60 = 156,385.20/x
  3. Step 3: Cross multiply
    306,469.20x = 458,850.60 × 156,385.20
  4. Step 4: Simplify right side
    306,469.20x = 71,757,442,851.12
  5. Step 5: Solve for x
    x = 71,757,442,851.12/306,469.20
  6. Step 6: Final answer
    x = 234,142.43

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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.