Finding the Fourth Proportional to 313,872.80, 470,809.20 and 114,199.70
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Solution
The fourth proportional to 313,872.80, 470,809.20 and 114,199.70 is: 171,299.55
Step by Step Solution
- Step 1: Write the proportion equation
313,872.80 : 470,809.20 = 114,199.70 : x - Step 2: Convert to fraction form
313,872.80/470,809.20 = 114,199.70/x - Step 3: Cross multiply
313,872.80x = 470,809.20 × 114,199.70 - Step 4: Simplify right side
313,872.80x = 53,766,269,397.24 - Step 5: Solve for x
x = 53,766,269,397.24/313,872.80 - Step 6: Final answer
x = 171,299.55
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1.5x scale
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.