Finding the Fourth Proportional to 300,101.99, 414,125.26 and 164,109.47
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Solution
The fourth proportional to 300,101.99, 414,125.26 and 164,109.47 is: 226,462.60
Step by Step Solution
- Step 1: Write the proportion equation
300,101.99 : 414,125.26 = 164,109.47 : x - Step 2: Convert to fraction form
300,101.99/414,125.26 = 164,109.47/x - Step 3: Cross multiply
300,101.99x = 414,125.26 × 164,109.47 - Step 4: Simplify right side
300,101.99x = 67,961,874,451.31 - Step 5: Solve for x
x = 67,961,874,451.31/300,101.99 - Step 6: Final answer
x = 226,462.60
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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.