Finding the Fourth Proportional to 282,982.58, 390,571.41 and 162,204.74
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Solution
The fourth proportional to 282,982.58, 390,571.41 and 162,204.74 is: 223,874.32
Step by Step Solution
- Step 1: Write the proportion equation
282,982.58 : 390,571.41 = 162,204.74 : x - Step 2: Convert to fraction form
282,982.58/390,571.41 = 162,204.74/x - Step 3: Cross multiply
282,982.58x = 390,571.41 × 162,204.74 - Step 4: Simplify right side
282,982.58x = 63,352,534,010.48 - Step 5: Solve for x
x = 63,352,534,010.48/282,982.58 - Step 6: Final answer
x = 223,874.32
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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.