Finding the Fourth Proportional to 296,101.65, 408,619.10 and 160,135.74
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Solution
The fourth proportional to 296,101.65, 408,619.10 and 160,135.74 is: 220,986.68
Step by Step Solution
- Step 1: Write the proportion equation
296,101.65 : 408,619.10 = 160,135.74 : x - Step 2: Convert to fraction form
296,101.65/408,619.10 = 160,135.74/x - Step 3: Cross multiply
296,101.65x = 408,619.10 × 160,135.74 - Step 4: Simplify right side
296,101.65x = 65,434,522,577.84 - Step 5: Solve for x
x = 65,434,522,577.84/296,101.65 - Step 6: Final answer
x = 220,986.68
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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.