Finding the Fourth Proportional to 302,158.42, 416,981.37 and 164,338.54
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Solution
The fourth proportional to 302,158.42, 416,981.37 and 164,338.54 is: 226,788.68
Step by Step Solution
- Step 1: Write the proportion equation
302,158.42 : 416,981.37 = 164,338.54 : x - Step 2: Convert to fraction form
302,158.42/416,981.37 = 164,338.54/x - Step 3: Cross multiply
302,158.42x = 416,981.37 × 164,338.54 - Step 4: Simplify right side
302,158.42x = 68,526,109,553.00 - Step 5: Solve for x
x = 68,526,109,553.00/302,158.42 - Step 6: Final answer
x = 226,788.68
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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.