Finding the Fourth Proportional to 756,506.24, 1,043,971.93 and 412,342.14
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Solution
The fourth proportional to 756,506.24, 1,043,971.93 and 412,342.14 is: 569,028.51
Step by Step Solution
- Step 1: Write the proportion equation
756,506.24 : 1,043,971.93 = 412,342.14 : x - Step 2: Convert to fraction form
756,506.24/1,043,971.93 = 412,342.14/x - Step 3: Cross multiply
756,506.24x = 1,043,971.93 × 412,342.14 - Step 4: Simplify right side
756,506.24x = 430,473,619,716.13 - Step 5: Solve for x
x = 430,473,619,716.13/756,506.24 - Step 6: Final answer
x = 569,028.51
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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.