Finding the Fourth Proportional to 282,566.82, 423,435.50 and 142,132.26
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Solution
The fourth proportional to 282,566.82, 423,435.50 and 142,132.26 is: 212,989.78
Step by Step Solution
- Step 1: Write the proportion equation
282,566.82 : 423,435.50 = 142,132.26 : x - Step 2: Convert to fraction form
282,566.82/423,435.50 = 142,132.26/x - Step 3: Cross multiply
282,566.82x = 423,435.50 × 142,132.26 - Step 4: Simplify right side
282,566.82x = 60,183,844,579.23 - Step 5: Solve for x
x = 60,183,844,579.23/282,566.82 - Step 6: Final answer
x = 212,989.78
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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.