Finding the Fourth Proportional to 417,975.30, 576,982.44 and 282,193.14
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Solution
The fourth proportional to 417,975.30, 576,982.44 and 282,193.14 is: 389,545.71
Step by Step Solution
- Step 1: Write the proportion equation
417,975.30 : 576,982.44 = 282,193.14 : x - Step 2: Convert to fraction form
417,975.30/576,982.44 = 282,193.14/x - Step 3: Cross multiply
417,975.30x = 576,982.44 × 282,193.14 - Step 4: Simplify right side
417,975.30x = 162,820,486,468.46 - Step 5: Solve for x
x = 162,820,486,468.46/417,975.30 - Step 6: Final answer
x = 389,545.71
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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.