Finding the Fourth Proportional to 296,102.09, 408,619.71 and 160,136.19
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Solution
The fourth proportional to 296,102.09, 408,619.71 and 160,136.19 is: 220,987.31
Step by Step Solution
- Step 1: Write the proportion equation
296,102.09 : 408,619.71 = 160,136.19 : x - Step 2: Convert to fraction form
296,102.09/408,619.71 = 160,136.19/x - Step 3: Cross multiply
296,102.09x = 408,619.71 × 160,136.19 - Step 4: Simplify right side
296,102.09x = 65,434,803,518.30 - Step 5: Solve for x
x = 65,434,803,518.30/296,102.09 - Step 6: Final answer
x = 220,987.31
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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.