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Finding the Fourth Proportional to 313,405,855.80, 470,108,783.70 and 263,241,324.60

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Solution

The fourth proportional to 313,405,855.80, 470,108,783.70 and 263,241,324.60 is: 394,861,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,405,855.80 : 470,108,783.70 = 263,241,324.60 : x
  2. Step 2: Convert to fraction form
    313,405,855.80/470,108,783.70 = 263,241,324.60/x
  3. Step 3: Cross multiply
    313,405,855.80x = 470,108,783.70 × 263,241,324.60
  4. Step 4: Simplify right side
    313,405,855.80x = 123,752,058,927,282,880
  5. Step 5: Solve for x
    x = 123,752,058,927,282,880/313,405,855.80
  6. Step 6: Final answer
    x = 394,861,986.90

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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.