Finding the Fourth Proportional to 309,921.24, 465,130.92 and 160,205.34
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Solution
The fourth proportional to 309,921.24, 465,130.92 and 160,205.34 is: 240,436.75
Step by Step Solution
- Step 1: Write the proportion equation
309,921.24 : 465,130.92 = 160,205.34 : x - Step 2: Convert to fraction form
309,921.24/465,130.92 = 160,205.34/x - Step 3: Cross multiply
309,921.24x = 465,130.92 × 160,205.34 - Step 4: Simplify right side
309,921.24x = 74,516,457,183.11 - Step 5: Solve for x
x = 74,516,457,183.11/309,921.24 - Step 6: Final answer
x = 240,436.75
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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.