Finding the Fourth Proportional to 206,474.67, 284,930.56 and 115,828.99
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Solution
The fourth proportional to 206,474.67, 284,930.56 and 115,828.99 is: 159,841.49
Step by Step Solution
- Step 1: Write the proportion equation
206,474.67 : 284,930.56 = 115,828.99 : x - Step 2: Convert to fraction form
206,474.67/284,930.56 = 115,828.99/x - Step 3: Cross multiply
206,474.67x = 284,930.56 × 115,828.99 - Step 4: Simplify right side
206,474.67x = 33,003,218,417.39 - Step 5: Solve for x
x = 33,003,218,417.39/206,474.67 - Step 6: Final answer
x = 159,841.49
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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.