Finding the Fourth Proportional to 204,892.71, 282,630.09 and 159,498.84
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Solution
The fourth proportional to 204,892.71, 282,630.09 and 159,498.84 is: 220,013.55
Step by Step Solution
- Step 1: Write the proportion equation
204,892.71 : 282,630.09 = 159,498.84 : x - Step 2: Convert to fraction form
204,892.71/282,630.09 = 159,498.84/x - Step 3: Cross multiply
204,892.71x = 282,630.09 × 159,498.84 - Step 4: Simplify right side
204,892.71x = 45,079,171,504.10 - Step 5: Solve for x
x = 45,079,171,504.10/204,892.71 - Step 6: Final answer
x = 220,013.55
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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.