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Finding the Fourth Proportional to 664,439,644.60, 996,659,466.90 and 319,310,049.40

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Solution

The fourth proportional to 664,439,644.60, 996,659,466.90 and 319,310,049.40 is: 478,965,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,439,644.60 : 996,659,466.90 = 319,310,049.40 : x
  2. Step 2: Convert to fraction form
    664,439,644.60/996,659,466.90 = 319,310,049.40/x
  3. Step 3: Cross multiply
    664,439,644.60x = 996,659,466.90 × 319,310,049.40
  4. Step 4: Simplify right side
    664,439,644.60x = 318,243,383,610,816,640
  5. Step 5: Solve for x
    x = 318,243,383,610,816,640/664,439,644.60
  6. Step 6: Final answer
    x = 478,965,074.10

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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.