Finding the Fourth Proportional to 298,283.44, 411,631.21 and 164,147.44
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Solution
The fourth proportional to 298,283.44, 411,631.21 and 164,147.44 is: 226,523.50
Step by Step Solution
- Step 1: Write the proportion equation
298,283.44 : 411,631.21 = 164,147.44 : x - Step 2: Convert to fraction form
298,283.44/411,631.21 = 164,147.44/x - Step 3: Cross multiply
298,283.44x = 411,631.21 × 164,147.44 - Step 4: Simplify right side
298,283.44x = 67,568,208,521.71 - Step 5: Solve for x
x = 67,568,208,521.71/298,283.44 - Step 6: Final answer
x = 226,523.50
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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.