Finding the Fourth Proportional to 277,102.23, 382,400.87 and 149,777.82
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Solution
The fourth proportional to 277,102.23, 382,400.87 and 149,777.82 is: 206,693.28
Step by Step Solution
- Step 1: Write the proportion equation
277,102.23 : 382,400.87 = 149,777.82 : x - Step 2: Convert to fraction form
277,102.23/382,400.87 = 149,777.82/x - Step 3: Cross multiply
277,102.23x = 382,400.87 × 149,777.82 - Step 4: Simplify right side
277,102.23x = 57,275,167,925.81 - Step 5: Solve for x
x = 57,275,167,925.81/277,102.23 - Step 6: Final answer
x = 206,693.28
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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.