Finding the Fourth Proportional to 296,697.09, 409,440.36 and 160,733.70
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Solution
The fourth proportional to 296,697.09, 409,440.36 and 160,733.70 is: 221,811.63
Step by Step Solution
- Step 1: Write the proportion equation
296,697.09 : 409,440.36 = 160,733.70 : x - Step 2: Convert to fraction form
296,697.09/409,440.36 = 160,733.70/x - Step 3: Cross multiply
296,697.09x = 409,440.36 × 160,733.70 - Step 4: Simplify right side
296,697.09x = 65,810,863,992.13 - Step 5: Solve for x
x = 65,810,863,992.13/296,697.09 - Step 6: Final answer
x = 221,811.63
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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.