Finding the Fourth Proportional to 277,147.24, 382,463.46 and 149,822.84
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Solution
The fourth proportional to 277,147.24, 382,463.46 and 149,822.84 is: 206,755.66
Step by Step Solution
- Step 1: Write the proportion equation
277,147.24 : 382,463.46 = 149,822.84 : x - Step 2: Convert to fraction form
277,147.24/382,463.46 = 149,822.84/x - Step 3: Cross multiply
277,147.24x = 382,463.46 × 149,822.84 - Step 4: Simplify right side
277,147.24x = 57,301,761,773.43 - Step 5: Solve for x
x = 57,301,761,773.43/277,147.24 - Step 6: Final answer
x = 206,755.66
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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.