Finding the Fourth Proportional to 284,736.29, 392,944.30 and 157,420.09
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Solution
The fourth proportional to 284,736.29, 392,944.30 and 157,420.09 is: 217,244.26
Step by Step Solution
- Step 1: Write the proportion equation
284,736.29 : 392,944.30 = 157,420.09 : x - Step 2: Convert to fraction form
284,736.29/392,944.30 = 157,420.09/x - Step 3: Cross multiply
284,736.29x = 392,944.30 × 157,420.09 - Step 4: Simplify right side
284,736.29x = 61,857,325,106.27 - Step 5: Solve for x
x = 61,857,325,106.27/284,736.29 - Step 6: Final answer
x = 217,244.26
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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.