Finding the Fourth Proportional to 297,406.20, 410,420.88 and 161,440.08
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Solution
The fourth proportional to 297,406.20, 410,420.88 and 161,440.08 is: 222,787.49
Step by Step Solution
- Step 1: Write the proportion equation
297,406.20 : 410,420.88 = 161,440.08 : x - Step 2: Convert to fraction form
297,406.20/410,420.88 = 161,440.08/x - Step 3: Cross multiply
297,406.20x = 410,420.88 × 161,440.08 - Step 4: Simplify right side
297,406.20x = 66,258,379,700.87 - Step 5: Solve for x
x = 66,258,379,700.87/297,406.20 - Step 6: Final answer
x = 222,787.49
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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.