Finding the Fourth Proportional to 409,396.97, 564,971.62 and 225,642.09
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Solution
The fourth proportional to 409,396.97, 564,971.62 and 225,642.09 is: 311,388.18
Step by Step Solution
- Step 1: Write the proportion equation
409,396.97 : 564,971.62 = 225,642.09 : x - Step 2: Convert to fraction form
409,396.97/564,971.62 = 225,642.09/x - Step 3: Cross multiply
409,396.97x = 564,971.62 × 225,642.09 - Step 4: Simplify right side
409,396.97x = 127,481,376,563.38 - Step 5: Solve for x
x = 127,481,376,563.38/409,396.97 - Step 6: Final answer
x = 311,388.18
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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.