Finding the Fourth Proportional to 312,842.27, 431,493.02 and 205,373.09
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Solution
The fourth proportional to 312,842.27, 431,493.02 and 205,373.09 is: 283,264.32
Step by Step Solution
- Step 1: Write the proportion equation
312,842.27 : 431,493.02 = 205,373.09 : x - Step 2: Convert to fraction form
312,842.27/431,493.02 = 205,373.09/x - Step 3: Cross multiply
312,842.27x = 431,493.02 × 205,373.09 - Step 4: Simplify right side
312,842.27x = 88,617,051,646.50 - Step 5: Solve for x
x = 88,617,051,646.50/312,842.27 - Step 6: Final answer
x = 283,264.32
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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.