Finding the Fourth Proportional to 284,735.29, 392,942.92 and 157,419.09
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Solution
The fourth proportional to 284,735.29, 392,942.92 and 157,419.09 is: 217,242.88
Step by Step Solution
- Step 1: Write the proportion equation
284,735.29 : 392,942.92 = 157,419.09 : x - Step 2: Convert to fraction form
284,735.29/392,942.92 = 157,419.09/x - Step 3: Cross multiply
284,735.29x = 392,942.92 × 157,419.09 - Step 4: Simplify right side
284,735.29x = 61,856,714,923.63 - Step 5: Solve for x
x = 61,856,714,923.63/284,735.29 - Step 6: Final answer
x = 217,242.88
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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.