Finding the Fourth Proportional to 305,704.64, 458,245.92 and 283,076.48
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Solution
The fourth proportional to 305,704.64, 458,245.92 and 283,076.48 is: 424,326.70
Step by Step Solution
- Step 1: Write the proportion equation
305,704.64 : 458,245.92 = 283,076.48 : x - Step 2: Convert to fraction form
305,704.64/458,245.92 = 283,076.48/x - Step 3: Cross multiply
305,704.64x = 458,245.92 × 283,076.48 - Step 4: Simplify right side
305,704.64x = 129,718,642,007.96 - Step 5: Solve for x
x = 129,718,642,007.96/305,704.64 - Step 6: Final answer
x = 424,326.70
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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.