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Finding the Fourth Proportional to 323,511,093.60, 485,266,640.40 and 214,671,976.80

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Solution

The fourth proportional to 323,511,093.60, 485,266,640.40 and 214,671,976.80 is: 322,007,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,511,093.60 : 485,266,640.40 = 214,671,976.80 : x
  2. Step 2: Convert to fraction form
    323,511,093.60/485,266,640.40 = 214,671,976.80/x
  3. Step 3: Cross multiply
    323,511,093.60x = 485,266,640.40 × 214,671,976.80
  4. Step 4: Simplify right side
    323,511,093.60x = 104,173,148,969,762,736
  5. Step 5: Solve for x
    x = 104,173,148,969,762,736/323,511,093.60
  6. Step 6: Final answer
    x = 322,007,965.20

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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.