Finding the Fourth Proportional to 282,714.63, 390,202.93 and 167,971.19
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Solution
The fourth proportional to 282,714.63, 390,202.93 and 167,971.19 is: 231,833.95
Step by Step Solution
- Step 1: Write the proportion equation
282,714.63 : 390,202.93 = 167,971.19 : x - Step 2: Convert to fraction form
282,714.63/390,202.93 = 167,971.19/x - Step 3: Cross multiply
282,714.63x = 390,202.93 × 167,971.19 - Step 4: Simplify right side
282,714.63x = 65,542,850,947.43 - Step 5: Solve for x
x = 65,542,850,947.43/282,714.63 - Step 6: Final answer
x = 231,833.95
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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.