Finding the Fourth Proportional to 410,138.40, 614,770.20 and 157,321.20
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Solution
The fourth proportional to 410,138.40, 614,770.20 and 157,321.20 is: 235,814.02
Step by Step Solution
- Step 1: Write the proportion equation
410,138.40 : 614,770.20 = 157,321.20 : x - Step 2: Convert to fraction form
410,138.40/614,770.20 = 157,321.20/x - Step 3: Cross multiply
410,138.40x = 614,770.20 × 157,321.20 - Step 4: Simplify right side
410,138.40x = 96,716,385,588.24 - Step 5: Solve for x
x = 96,716,385,588.24/410,138.40 - Step 6: Final answer
x = 235,814.02
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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.