Finding the Fourth Proportional to 299,929.26, 413,901.36 and 163,963.20
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Solution
The fourth proportional to 299,929.26, 413,901.36 and 163,963.20 is: 226,268.66
Step by Step Solution
- Step 1: Write the proportion equation
299,929.26 : 413,901.36 = 163,963.20 : x - Step 2: Convert to fraction form
299,929.26/413,901.36 = 163,963.20/x - Step 3: Cross multiply
299,929.26x = 413,901.36 × 163,963.20 - Step 4: Simplify right side
299,929.26x = 67,864,591,469.95 - Step 5: Solve for x
x = 67,864,591,469.95/299,929.26 - Step 6: Final answer
x = 226,268.66
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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.