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Finding the Fourth Proportional to 275,323,433.70, 412,998,873.52 and 78,616,021.90

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Solution

The fourth proportional to 275,323,433.70, 412,998,873.52 and 78,616,021.90 is: 117,927,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,323,433.70 : 412,998,873.52 = 78,616,021.90 : x
  2. Step 2: Convert to fraction form
    275,323,433.70/412,998,873.52 = 78,616,021.90/x
  3. Step 3: Cross multiply
    275,323,433.70x = 412,998,873.52 × 78,616,021.90
  4. Step 4: Simplify right side
    275,323,433.70x = 32,468,328,485,323,652
  5. Step 5: Solve for x
    x = 32,468,328,485,323,652/275,323,433.70
  6. Step 6: Final answer
    x = 117,927,951.32

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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.