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Finding the Fourth Proportional to 1,327,661,715.80, 1,991,492,573.70 and 715,441,683.80

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Solution

The fourth proportional to 1,327,661,715.80, 1,991,492,573.70 and 715,441,683.80 is: 1,073,162,525.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327,661,715.80 : 1,991,492,573.70 = 715,441,683.80 : x
  2. Step 2: Convert to fraction form
    1,327,661,715.80/1,991,492,573.70 = 715,441,683.80/x
  3. Step 3: Cross multiply
    1,327,661,715.80x = 1,991,492,573.70 × 715,441,683.80
  4. Step 4: Simplify right side
    1,327,661,715.80x = 1,424,796,800,203,123,456
  5. Step 5: Solve for x
    x = 1,424,796,800,203,123,456/1,327,661,715.80
  6. Step 6: Final answer
    x = 1,073,162,525.70

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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.