Finding the Fourth Proportional to 299,975.82, 414,070.92 and 172,702.14
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Solution
The fourth proportional to 299,975.82, 414,070.92 and 172,702.14 is: 238,388.99
Step by Step Solution
- Step 1: Write the proportion equation
299,975.82 : 414,070.92 = 172,702.14 : x - Step 2: Convert to fraction form
299,975.82/414,070.92 = 172,702.14/x - Step 3: Cross multiply
299,975.82x = 414,070.92 × 172,702.14 - Step 4: Simplify right side
299,975.82x = 71,510,933,995.77 - Step 5: Solve for x
x = 71,510,933,995.77/299,975.82 - Step 6: Final answer
x = 238,388.99
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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.