Finding the Fourth Proportional to 277,142.24, 382,456.56 and 149,817.84
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Solution
The fourth proportional to 277,142.24, 382,456.56 and 149,817.84 is: 206,748.76
Step by Step Solution
- Step 1: Write the proportion equation
277,142.24 : 382,456.56 = 149,817.84 : x - Step 2: Convert to fraction form
277,142.24/382,456.56 = 149,817.84/x - Step 3: Cross multiply
277,142.24x = 382,456.56 × 149,817.84 - Step 4: Simplify right side
277,142.24x = 57,298,815,713.03 - Step 5: Solve for x
x = 57,298,815,713.03/277,142.24 - Step 6: Final answer
x = 206,748.76
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1.5x scale
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.