Finding the Fourth Proportional to 284,971.14, 393,226.14 and 157,629.42
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Solution
The fourth proportional to 284,971.14, 393,226.14 and 157,629.42 is: 217,509.77
Step by Step Solution
- Step 1: Write the proportion equation
284,971.14 : 393,226.14 = 157,629.42 : x - Step 2: Convert to fraction form
284,971.14/393,226.14 = 157,629.42/x - Step 3: Cross multiply
284,971.14x = 393,226.14 × 157,629.42 - Step 4: Simplify right side
284,971.14x = 61,984,008,377.04 - Step 5: Solve for x
x = 61,984,008,377.04/284,971.14 - Step 6: Final answer
x = 217,509.77
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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.