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Finding the Fourth Proportional to 323,847,264.40, 485,770,896.60 and 214,795,571.20

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Solution

The fourth proportional to 323,847,264.40, 485,770,896.60 and 214,795,571.20 is: 322,193,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,847,264.40 : 485,770,896.60 = 214,795,571.20 : x
  2. Step 2: Convert to fraction form
    323,847,264.40/485,770,896.60 = 214,795,571.20/x
  3. Step 3: Cross multiply
    323,847,264.40x = 485,770,896.60 × 214,795,571.20
  4. Step 4: Simplify right side
    323,847,264.40x = 104,341,437,207,533,136
  5. Step 5: Solve for x
    x = 104,341,437,207,533,136/323,847,264.40
  6. Step 6: Final answer
    x = 322,193,356.80

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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.