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Finding the Fourth Proportional to 664,253,313.60, 996,379,970.40 and 319,123,718.40

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Solution

The fourth proportional to 664,253,313.60, 996,379,970.40 and 319,123,718.40 is: 478,685,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,253,313.60 : 996,379,970.40 = 319,123,718.40 : x
  2. Step 2: Convert to fraction form
    664,253,313.60/996,379,970.40 = 319,123,718.40/x
  3. Step 3: Cross multiply
    664,253,313.60x = 996,379,970.40 × 319,123,718.40
  4. Step 4: Simplify right side
    664,253,313.60x = 317,968,481,093,329,920
  5. Step 5: Solve for x
    x = 317,968,481,093,329,920/664,253,313.60
  6. Step 6: Final answer
    x = 478,685,577.60

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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.