Finding the Fourth Proportional to 296,483.09, 409,146.93 and 160,517.15
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Solution
The fourth proportional to 296,483.09, 409,146.93 and 160,517.15 is: 221,513.80
Step by Step Solution
- Step 1: Write the proportion equation
296,483.09 : 409,146.93 = 160,517.15 : x - Step 2: Convert to fraction form
296,483.09/409,146.93 = 160,517.15/x - Step 3: Cross multiply
296,483.09x = 409,146.93 × 160,517.15 - Step 4: Simplify right side
296,483.09x = 65,675,096,286.53 - Step 5: Solve for x
x = 65,675,096,286.53/296,483.09 - Step 6: Final answer
x = 221,513.80
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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.