Finding the Fourth Proportional to 213,578.64, 320,893.20 and 160,828.08
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Solution
The fourth proportional to 213,578.64, 320,893.20 and 160,828.08 is: 241,637.63
Step by Step Solution
- Step 1: Write the proportion equation
213,578.64 : 320,893.20 = 160,828.08 : x - Step 2: Convert to fraction form
213,578.64/320,893.20 = 160,828.08/x - Step 3: Cross multiply
213,578.64x = 320,893.20 × 160,828.08 - Step 4: Simplify right side
213,578.64x = 51,608,637,241.06 - Step 5: Solve for x
x = 51,608,637,241.06/213,578.64 - Step 6: Final answer
x = 241,637.63
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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.