Finding the Fourth Proportional to 280,284.09, 420,414.21 and 130,472.70
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Solution
The fourth proportional to 280,284.09, 420,414.21 and 130,472.70 is: 195,703.50
Step by Step Solution
- Step 1: Write the proportion equation
280,284.09 : 420,414.21 = 130,472.70 : x - Step 2: Convert to fraction form
280,284.09/420,414.21 = 130,472.70/x - Step 3: Cross multiply
280,284.09x = 420,414.21 × 130,472.70 - Step 4: Simplify right side
280,284.09x = 54,852,577,097.07 - Step 5: Solve for x
x = 54,852,577,097.07/280,284.09 - Step 6: Final answer
x = 195,703.50
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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.