Finding the Fourth Proportional to 286,306.02, 394,927.11 and 205,842.24
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Solution
The fourth proportional to 286,306.02, 394,927.11 and 205,842.24 is: 283,936.33
Step by Step Solution
- Step 1: Write the proportion equation
286,306.02 : 394,927.11 = 205,842.24 : x - Step 2: Convert to fraction form
286,306.02/394,927.11 = 205,842.24/x - Step 3: Cross multiply
286,306.02x = 394,927.11 × 205,842.24 - Step 4: Simplify right side
286,306.02x = 81,292,680,959.13 - Step 5: Solve for x
x = 81,292,680,959.13/286,306.02 - Step 6: Final answer
x = 283,936.33
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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.