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Finding the Fourth Proportional to 489,313,697.80, 733,970,546.70 and 470,501,998.60

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Solution

The fourth proportional to 489,313,697.80, 733,970,546.70 and 470,501,998.60 is: 705,752,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,313,697.80 : 733,970,546.70 = 470,501,998.60 : x
  2. Step 2: Convert to fraction form
    489,313,697.80/733,970,546.70 = 470,501,998.60/x
  3. Step 3: Cross multiply
    489,313,697.80x = 733,970,546.70 × 470,501,998.60
  4. Step 4: Simplify right side
    489,313,697.80x = 345,334,609,135,884,672
  5. Step 5: Solve for x
    x = 345,334,609,135,884,672/489,313,697.80
  6. Step 6: Final answer
    x = 705,752,997.90

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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.