Finding the Fourth Proportional to 828,163.07, 1,142,858.16 and 465,588.54
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Solution
The fourth proportional to 828,163.07, 1,142,858.16 and 465,588.54 is: 642,508.32
Step by Step Solution
- Step 1: Write the proportion equation
828,163.07 : 1,142,858.16 = 465,588.54 : x - Step 2: Convert to fraction form
828,163.07/1,142,858.16 = 465,588.54/x - Step 3: Cross multiply
828,163.07x = 1,142,858.16 × 465,588.54 - Step 4: Simplify right side
828,163.07x = 532,101,662,141.49 - Step 5: Solve for x
x = 532,101,662,141.49/828,163.07 - Step 6: Final answer
x = 642,508.32
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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.