Finding the Fourth Proportional to 996,365,249.54, 1,493,969,660.80 and 471,729,947.09
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Solution
The fourth proportional to 996,365,249.54, 1,493,969,660.80 and 471,729,947.09 is: 707,321,164.97
Step by Step Solution
- Step 1: Write the proportion equation
996,365,249.54 : 1,493,969,660.80 = 471,729,947.09 : x - Step 2: Convert to fraction form
996,365,249.54/1,493,969,660.80 = 471,729,947.09/x - Step 3: Cross multiply
996,365,249.54x = 1,493,969,660.80 × 471,729,947.09 - Step 4: Simplify right side
996,365,249.54x = 704,750,229,043,249,152 - Step 5: Solve for x
x = 704,750,229,043,249,152/996,365,249.54 - Step 6: Final answer
x = 707,321,164.97
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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.