Finding the Fourth Proportional to 296,441.40, 409,088.70 and 160,474.68
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Solution
The fourth proportional to 296,441.40, 409,088.70 and 160,474.68 is: 221,454.82
Step by Step Solution
- Step 1: Write the proportion equation
296,441.40 : 409,088.70 = 160,474.68 : x - Step 2: Convert to fraction form
296,441.40/409,088.70 = 160,474.68/x - Step 3: Cross multiply
296,441.40x = 409,088.70 × 160,474.68 - Step 4: Simplify right side
296,441.40x = 65,648,378,224.12 - Step 5: Solve for x
x = 65,648,378,224.12/296,441.40 - Step 6: Final answer
x = 221,454.82
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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.