Finding the Fourth Proportional to 221,302,596.96, 305,113,704.26 and 181,463,344.74
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Solution
The fourth proportional to 221,302,596.96, 305,113,704.26 and 181,463,344.74 is: 250,186,640.65
Step by Step Solution
- Step 1: Write the proportion equation
221,302,596.96 : 305,113,704.26 = 181,463,344.74 : x - Step 2: Convert to fraction form
221,302,596.96/305,113,704.26 = 181,463,344.74/x - Step 3: Cross multiply
221,302,596.96x = 305,113,704.26 × 181,463,344.74 - Step 4: Simplify right side
221,302,596.96x = 55,366,953,300,123,472 - Step 5: Solve for x
x = 55,366,953,300,123,472/221,302,596.96 - Step 6: Final answer
x = 250,186,640.65
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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.