Finding the Fourth Proportional to 280,228.24, 420,193.92 and 122,272.24
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Solution
The fourth proportional to 280,228.24, 420,193.92 and 122,272.24 is: 183,343.59
Step by Step Solution
- Step 1: Write the proportion equation
280,228.24 : 420,193.92 = 122,272.24 : x - Step 2: Convert to fraction form
280,228.24/420,193.92 = 122,272.24/x - Step 3: Cross multiply
280,228.24x = 420,193.92 × 122,272.24 - Step 4: Simplify right side
280,228.24x = 51,378,051,832.78 - Step 5: Solve for x
x = 51,378,051,832.78/280,228.24 - Step 6: Final answer
x = 183,343.59
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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.