Finding the Fourth Proportional to 282,115.92, 423,201.14 and 82,431.74
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Solution
The fourth proportional to 282,115.92, 423,201.14 and 82,431.74 is: 123,655.58
Step by Step Solution
- Step 1: Write the proportion equation
282,115.92 : 423,201.14 = 82,431.74 : x - Step 2: Convert to fraction form
282,115.92/423,201.14 = 82,431.74/x - Step 3: Cross multiply
282,115.92x = 423,201.14 × 82,431.74 - Step 4: Simplify right side
282,115.92x = 34,885,206,340.18 - Step 5: Solve for x
x = 34,885,206,340.18/282,115.92 - Step 6: Final answer
x = 123,655.58
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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.