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Finding the Fourth Proportional to 449,664,400.80, 674,496,601.20 and 347,627,728.80

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Solution

The fourth proportional to 449,664,400.80, 674,496,601.20 and 347,627,728.80 is: 521,441,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,664,400.80 : 674,496,601.20 = 347,627,728.80 : x
  2. Step 2: Convert to fraction form
    449,664,400.80/674,496,601.20 = 347,627,728.80/x
  3. Step 3: Cross multiply
    449,664,400.80x = 674,496,601.20 × 347,627,728.80
  4. Step 4: Simplify right side
    449,664,400.80x = 234,473,721,558,475,392
  5. Step 5: Solve for x
    x = 234,473,721,558,475,392/449,664,400.80
  6. Step 6: Final answer
    x = 521,441,593.20

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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.