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Finding the Fourth Proportional to 512,114.40, 768,171.60 and 352,682.10

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Solution

The fourth proportional to 512,114.40, 768,171.60 and 352,682.10 is: 529,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,114.40 : 768,171.60 = 352,682.10 : x
  2. Step 2: Convert to fraction form
    512,114.40/768,171.60 = 352,682.10/x
  3. Step 3: Cross multiply
    512,114.40x = 768,171.60 × 352,682.10
  4. Step 4: Simplify right side
    512,114.40x = 270,920,373,048.36
  5. Step 5: Solve for x
    x = 270,920,373,048.36/512,114.40
  6. Step 6: Final answer
    x = 529,023.15

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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.