Finding the Fourth Proportional to 299,936.26, 413,911.02 and 163,970.20
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Solution
The fourth proportional to 299,936.26, 413,911.02 and 163,970.20 is: 226,278.32
Step by Step Solution
- Step 1: Write the proportion equation
299,936.26 : 413,911.02 = 163,970.20 : x - Step 2: Convert to fraction form
299,936.26/413,911.02 = 163,970.20/x - Step 3: Cross multiply
299,936.26x = 413,911.02 × 163,970.20 - Step 4: Simplify right side
299,936.26x = 67,869,072,731.60 - Step 5: Solve for x
x = 67,869,072,731.60/299,936.26 - Step 6: Final answer
x = 226,278.32
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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.