Finding the Fourth Proportional to 380,292.36, 524,809.68 and 208,207.44
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Solution
The fourth proportional to 380,292.36, 524,809.68 and 208,207.44 is: 287,329.67
Step by Step Solution
- Step 1: Write the proportion equation
380,292.36 : 524,809.68 = 208,207.44 : x - Step 2: Convert to fraction form
380,292.36/524,809.68 = 208,207.44/x - Step 3: Cross multiply
380,292.36x = 524,809.68 × 208,207.44 - Step 4: Simplify right side
380,292.36x = 109,269,279,960.02 - Step 5: Solve for x
x = 109,269,279,960.02/380,292.36 - Step 6: Final answer
x = 287,329.67
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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.