Finding the Fourth Proportional to 209,202.91, 288,839.05 and 160,718.49
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Solution
The fourth proportional to 209,202.91, 288,839.05 and 160,718.49 is: 221,898.32
Step by Step Solution
- Step 1: Write the proportion equation
209,202.91 : 288,839.05 = 160,718.49 : x - Step 2: Convert to fraction form
209,202.91/288,839.05 = 160,718.49/x - Step 3: Cross multiply
209,202.91x = 288,839.05 × 160,718.49 - Step 4: Simplify right side
209,202.91x = 46,421,775,567.24 - Step 5: Solve for x
x = 46,421,775,567.24/209,202.91 - Step 6: Final answer
x = 221,898.32
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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.