Finding the Fourth Proportional to 512,503.88, 707,299.11 and 286,193.12
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Solution
The fourth proportional to 512,503.88, 707,299.11 and 286,193.12 is: 394,970.94
Step by Step Solution
- Step 1: Write the proportion equation
512,503.88 : 707,299.11 = 286,193.12 : x - Step 2: Convert to fraction form
512,503.88/707,299.11 = 286,193.12/x - Step 3: Cross multiply
512,503.88x = 707,299.11 × 286,193.12 - Step 4: Simplify right side
512,503.88x = 202,424,135,527.63 - Step 5: Solve for x
x = 202,424,135,527.63/512,503.88 - Step 6: Final answer
x = 394,970.94
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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.