Finding the Fourth Proportional to 284,256,403.38, 392,276,540.97 and 166,783,732.02
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Solution
The fourth proportional to 284,256,403.38, 392,276,540.97 and 166,783,732.02 is: 230,163,136.90
Step by Step Solution
- Step 1: Write the proportion equation
284,256,403.38 : 392,276,540.97 = 166,783,732.02 : x - Step 2: Convert to fraction form
284,256,403.38/392,276,540.97 = 166,783,732.02/x - Step 3: Cross multiply
284,256,403.38x = 392,276,540.97 × 166,783,732.02 - Step 4: Simplify right side
284,256,403.38x = 65,425,345,486,873,040 - Step 5: Solve for x
x = 65,425,345,486,873,040/284,256,403.38 - Step 6: Final answer
x = 230,163,136.90
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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.