Finding the Fourth Proportional to 823,609,173.82, 1,235,412,769.26 and 210,193,465.18
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Solution
The fourth proportional to 823,609,173.82, 1,235,412,769.26 and 210,193,465.18 is: 315,289,944.74
Step by Step Solution
- Step 1: Write the proportion equation
823,609,173.82 : 1,235,412,769.26 = 210,193,465.18 : x - Step 2: Convert to fraction form
823,609,173.82/1,235,412,769.26 = 210,193,465.18/x - Step 3: Cross multiply
823,609,173.82x = 1,235,412,769.26 × 210,193,465.18 - Step 4: Simplify right side
823,609,173.82x = 259,675,690,898,379,200 - Step 5: Solve for x
x = 259,675,690,898,379,200/823,609,173.82 - Step 6: Final answer
x = 315,289,944.74
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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.