Finding the Fourth Proportional to 302,135.14, 416,946.64 and 166,178.31
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Solution
The fourth proportional to 302,135.14, 416,946.64 and 166,178.31 is: 229,326.15
Step by Step Solution
- Step 1: Write the proportion equation
302,135.14 : 416,946.64 = 166,178.31 : x - Step 2: Convert to fraction form
302,135.14/416,946.64 = 166,178.31/x - Step 3: Cross multiply
302,135.14x = 416,946.64 × 166,178.31 - Step 4: Simplify right side
302,135.14x = 69,287,487,995.38 - Step 5: Solve for x
x = 69,287,487,995.38/302,135.14 - Step 6: Final answer
x = 229,326.15
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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.