Finding the Fourth Proportional to 299,923.26, 413,893.08 and 163,957.20
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Solution
The fourth proportional to 299,923.26, 413,893.08 and 163,957.20 is: 226,260.38
Step by Step Solution
- Step 1: Write the proportion equation
299,923.26 : 413,893.08 = 163,957.20 : x - Step 2: Convert to fraction form
299,923.26/413,893.08 = 163,957.20/x - Step 3: Cross multiply
299,923.26x = 413,893.08 × 163,957.20 - Step 4: Simplify right side
299,923.26x = 67,860,750,496.18 - Step 5: Solve for x
x = 67,860,750,496.18/299,923.26 - Step 6: Final answer
x = 226,260.38
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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.