Finding the Fourth Proportional to 300,154.14, 414,197.16 and 164,161.62
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Solution
The fourth proportional to 300,154.14, 414,197.16 and 164,161.62 is: 226,534.53
Step by Step Solution
- Step 1: Write the proportion equation
300,154.14 : 414,197.16 = 164,161.62 : x - Step 2: Convert to fraction form
300,154.14/414,197.16 = 164,161.62/x - Step 3: Cross multiply
300,154.14x = 414,197.16 × 164,161.62 - Step 4: Simplify right side
300,154.14x = 67,995,276,785.00 - Step 5: Solve for x
x = 67,995,276,785.00/300,154.14 - Step 6: Final answer
x = 226,534.53
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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.