Finding the Fourth Proportional to 824,876.14, 1,138,342.53 and 462,380.62
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Solution
The fourth proportional to 824,876.14, 1,138,342.53 and 462,380.62 is: 638,092.80
Step by Step Solution
- Step 1: Write the proportion equation
824,876.14 : 1,138,342.53 = 462,380.62 : x - Step 2: Convert to fraction form
824,876.14/1,138,342.53 = 462,380.62/x - Step 3: Cross multiply
824,876.14x = 1,138,342.53 × 462,380.62 - Step 4: Simplify right side
824,876.14x = 526,347,524,793.77 - Step 5: Solve for x
x = 526,347,524,793.77/824,876.14 - Step 6: Final answer
x = 638,092.80
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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.