Finding the Fourth Proportional to 397,766.09, 596,649.14 and 327,497.78
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Solution
The fourth proportional to 397,766.09, 596,649.14 and 327,497.78 is: 491,246.67
Step by Step Solution
- Step 1: Write the proportion equation
397,766.09 : 596,649.14 = 327,497.78 : x - Step 2: Convert to fraction form
397,766.09/596,649.14 = 327,497.78/x - Step 3: Cross multiply
397,766.09x = 596,649.14 × 327,497.78 - Step 4: Simplify right side
397,766.09x = 195,401,268,788.91 - Step 5: Solve for x
x = 195,401,268,788.91/397,766.09 - Step 6: Final answer
x = 491,246.67
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.