Finding the Fourth Proportional to 284,586.44, 392,754.12 and 157,286.62
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Solution
The fourth proportional to 284,586.44, 392,754.12 and 157,286.62 is: 217,069.26
Step by Step Solution
- Step 1: Write the proportion equation
284,586.44 : 392,754.12 = 157,286.62 : x - Step 2: Convert to fraction form
284,586.44/392,754.12 = 157,286.62/x - Step 3: Cross multiply
284,586.44x = 392,754.12 × 157,286.62 - Step 4: Simplify right side
284,586.44x = 61,774,968,025.87 - Step 5: Solve for x
x = 61,774,968,025.87/284,586.44 - Step 6: Final answer
x = 217,069.26
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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.