Finding the Fourth Proportional to 284,832.64, 427,278.24 and 107,488.96
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Solution
The fourth proportional to 284,832.64, 427,278.24 and 107,488.96 is: 161,244.49
Step by Step Solution
- Step 1: Write the proportion equation
284,832.64 : 427,278.24 = 107,488.96 : x - Step 2: Convert to fraction form
284,832.64/427,278.24 = 107,488.96/x - Step 3: Cross multiply
284,832.64x = 427,278.24 × 107,488.96 - Step 4: Simplify right side
284,832.64x = 45,927,693,648.23 - Step 5: Solve for x
x = 45,927,693,648.23/284,832.64 - Step 6: Final answer
x = 161,244.49
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.