Finding the Fourth Proportional to 299,286.92, 413,024.76 and 163,329.68
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Solution
The fourth proportional to 299,286.92, 413,024.76 and 163,329.68 is: 225,399.76
Step by Step Solution
- Step 1: Write the proportion equation
299,286.92 : 413,024.76 = 163,329.68 : x - Step 2: Convert to fraction form
299,286.92/413,024.76 = 163,329.68/x - Step 3: Cross multiply
299,286.92x = 413,024.76 × 163,329.68 - Step 4: Simplify right side
299,286.92x = 67,459,199,817.75 - Step 5: Solve for x
x = 67,459,199,817.75/299,286.92 - Step 6: Final answer
x = 225,399.76
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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.