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Finding the Fourth Proportional to 664,075,651.80, 996,412,076.10 and 300,382,800.60

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Solution

The fourth proportional to 664,075,651.80, 996,412,076.10 and 300,382,800.60 is: 450,709,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,075,651.80 : 996,412,076.10 = 300,382,800.60 : x
  2. Step 2: Convert to fraction form
    664,075,651.80/996,412,076.10 = 300,382,800.60/x
  3. Step 3: Cross multiply
    664,075,651.80x = 996,412,076.10 × 300,382,800.60
  4. Step 4: Simplify right side
    664,075,651.80x = 299,305,049,970,578,368
  5. Step 5: Solve for x
    x = 299,305,049,970,578,368/664,075,651.80
  6. Step 6: Final answer
    x = 450,709,266.57

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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.