Finding the Fourth Proportional to 231,512,514.85, 319,475,537.81 and 137,430,683.29
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Solution
The fourth proportional to 231,512,514.85, 319,475,537.81 and 137,430,683.29 is: 189,647,378.17
Step by Step Solution
- Step 1: Write the proportion equation
231,512,514.85 : 319,475,537.81 = 137,430,683.29 : x - Step 2: Convert to fraction form
231,512,514.85/319,475,537.81 = 137,430,683.29/x - Step 3: Cross multiply
231,512,514.85x = 319,475,537.81 × 137,430,683.29 - Step 4: Simplify right side
231,512,514.85x = 43,905,741,454,981,376 - Step 5: Solve for x
x = 43,905,741,454,981,376/231,512,514.85 - Step 6: Final answer
x = 189,647,378.17
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.