Finding the Fourth Proportional to 422,286.24, 633,429.36 and 106,743.14
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Solution
The fourth proportional to 422,286.24, 633,429.36 and 106,743.14 is: 160,114.72
Step by Step Solution
- Step 1: Write the proportion equation
422,286.24 : 633,429.36 = 106,743.14 : x - Step 2: Convert to fraction form
422,286.24/633,429.36 = 106,743.14/x - Step 3: Cross multiply
422,286.24x = 633,429.36 × 106,743.14 - Step 4: Simplify right side
422,286.24x = 67,614,241,325.63 - Step 5: Solve for x
x = 67,614,241,325.63/422,286.24 - Step 6: Final answer
x = 160,114.72
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1.5x scale
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.