Finding the Fourth Proportional to 830,778.14, 1,246,167.11 and 199,691.96
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Solution
The fourth proportional to 830,778.14, 1,246,167.11 and 199,691.96 is: 299,537.91
Step by Step Solution
- Step 1: Write the proportion equation
830,778.14 : 1,246,167.11 = 199,691.96 : x - Step 2: Convert to fraction form
830,778.14/1,246,167.11 = 199,691.96/x - Step 3: Cross multiply
830,778.14x = 1,246,167.11 × 199,691.96 - Step 4: Simplify right side
830,778.14x = 248,849,546,951.83 - Step 5: Solve for x
x = 248,849,546,951.83/830,778.14 - Step 6: Final answer
x = 299,537.91
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.