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Finding the Fourth Proportional to 498,715,768.80, 746,561,998.80 and 376,775,647.20

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Solution

The fourth proportional to 498,715,768.80, 746,561,998.80 and 376,775,647.20 is: 564,021,428.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,715,768.80 : 746,561,998.80 = 376,775,647.20 : x
  2. Step 2: Convert to fraction form
    498,715,768.80/746,561,998.80 = 376,775,647.20/x
  3. Step 3: Cross multiply
    498,715,768.80x = 746,561,998.80 × 376,775,647.20
  4. Step 4: Simplify right side
    498,715,768.80x = 281,286,380,272,795,584
  5. Step 5: Solve for x
    x = 281,286,380,272,795,584/498,715,768.80
  6. Step 6: Final answer
    x = 564,021,428.38

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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.