Finding the Fourth Proportional to 295,860.92, 408,288.12 and 159,894.42
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Solution
The fourth proportional to 295,860.92, 408,288.12 and 159,894.42 is: 220,654.33
Step by Step Solution
- Step 1: Write the proportion equation
295,860.92 : 408,288.12 = 159,894.42 : x - Step 2: Convert to fraction form
295,860.92/408,288.12 = 159,894.42/x - Step 3: Cross multiply
295,860.92x = 408,288.12 × 159,894.42 - Step 4: Simplify right side
295,860.92x = 65,282,992,140.29 - Step 5: Solve for x
x = 65,282,992,140.29/295,860.92 - Step 6: Final answer
x = 220,654.33
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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.