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Finding the Fourth Proportional to 489,398,665.80, 734,097,998.70 and 295,906,902.60

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Solution

The fourth proportional to 489,398,665.80, 734,097,998.70 and 295,906,902.60 is: 443,860,353.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,398,665.80 : 734,097,998.70 = 295,906,902.60 : x
  2. Step 2: Convert to fraction form
    489,398,665.80/734,097,998.70 = 295,906,902.60/x
  3. Step 3: Cross multiply
    489,398,665.80x = 734,097,998.70 × 295,906,902.60
  4. Step 4: Simplify right side
    489,398,665.80x = 217,224,665,000,175,872
  5. Step 5: Solve for x
    x = 217,224,665,000,175,872/489,398,665.80
  6. Step 6: Final answer
    x = 443,860,353.90

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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.