Finding the Fourth Proportional to 277,148.49, 382,465.89 and 149,824.08
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Solution
The fourth proportional to 277,148.49, 382,465.89 and 149,824.08 is: 206,757.76
Step by Step Solution
- Step 1: Write the proportion equation
277,148.49 : 382,465.89 = 149,824.08 : x - Step 2: Convert to fraction form
277,148.49/382,465.89 = 149,824.08/x - Step 3: Cross multiply
277,148.49x = 382,465.89 × 149,824.08 - Step 4: Simplify right side
277,148.49x = 57,302,600,100.63 - Step 5: Solve for x
x = 57,302,600,100.63/277,148.49 - Step 6: Final answer
x = 206,757.76
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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.