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Finding the Fourth Proportional to 512,076.60, 768,746.70 and 322,536.60

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Solution

The fourth proportional to 512,076.60, 768,746.70 and 322,536.60 is: 484,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,076.60 : 768,746.70 = 322,536.60 : x
  2. Step 2: Convert to fraction form
    512,076.60/768,746.70 = 322,536.60/x
  3. Step 3: Cross multiply
    512,076.60x = 768,746.70 × 322,536.60
  4. Step 4: Simplify right side
    512,076.60x = 247,948,946,879.22
  5. Step 5: Solve for x
    x = 247,948,946,879.22/512,076.60
  6. Step 6: Final answer
    x = 484,202.85

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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.