Finding the Fourth Proportional to 996,365,249.48, 1,493,969,660.71 and 471,729,947.02
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Solution
The fourth proportional to 996,365,249.48, 1,493,969,660.71 and 471,729,947.02 is: 707,321,164.87
Step by Step Solution
- Step 1: Write the proportion equation
996,365,249.48 : 1,493,969,660.71 = 471,729,947.02 : x - Step 2: Convert to fraction form
996,365,249.48/1,493,969,660.71 = 471,729,947.02/x - Step 3: Cross multiply
996,365,249.48x = 1,493,969,660.71 × 471,729,947.02 - Step 4: Simplify right side
996,365,249.48x = 704,750,228,896,215,680 - Step 5: Solve for x
x = 704,750,228,896,215,680/996,365,249.48 - Step 6: Final answer
x = 707,321,164.87
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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.