Finding the Fourth Proportional to 301,403.84, 415,942.68 and 165,450.44
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Solution
The fourth proportional to 301,403.84, 415,942.68 and 165,450.44 is: 228,324.56
Step by Step Solution
- Step 1: Write the proportion equation
301,403.84 : 415,942.68 = 165,450.44 : x - Step 2: Convert to fraction form
301,403.84/415,942.68 = 165,450.44/x - Step 3: Cross multiply
301,403.84x = 415,942.68 × 165,450.44 - Step 4: Simplify right side
301,403.84x = 68,817,897,341.07 - Step 5: Solve for x
x = 68,817,897,341.07/301,403.84 - Step 6: Final answer
x = 228,324.56
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1.5x scale
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.