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Finding the Fourth Proportional to 644,738,447.70, 967,297,415.67 and 208,030,939.38

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Solution

The fourth proportional to 644,738,447.70, 967,297,415.67 and 208,030,939.38 is: 312,107,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,738,447.70 : 967,297,415.67 = 208,030,939.38 : x
  2. Step 2: Convert to fraction form
    644,738,447.70/967,297,415.67 = 208,030,939.38/x
  3. Step 3: Cross multiply
    644,738,447.70x = 967,297,415.67 × 208,030,939.38
  4. Step 4: Simplify right side
    644,738,447.70x = 201,227,790,041,676,416
  5. Step 5: Solve for x
    x = 201,227,790,041,676,416/644,738,447.70
  6. Step 6: Final answer
    x = 312,107,631.80

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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.