Finding the Fourth Proportional to 284,582.09, 392,723.42 and 157,257.68
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Solution
The fourth proportional to 284,582.09, 392,723.42 and 157,257.68 is: 217,015.67
Step by Step Solution
- Step 1: Write the proportion equation
284,582.09 : 392,723.42 = 157,257.68 : x - Step 2: Convert to fraction form
284,582.09/392,723.42 = 157,257.68/x - Step 3: Cross multiply
284,582.09x = 392,723.42 × 157,257.68 - Step 4: Simplify right side
284,582.09x = 61,758,771,160.96 - Step 5: Solve for x
x = 61,758,771,160.96/284,582.09 - Step 6: Final answer
x = 217,015.67
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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.