Finding the Fourth Proportional to 299,278.24, 412,434.12 and 214,247.68
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Solution
The fourth proportional to 299,278.24, 412,434.12 and 214,247.68 is: 295,253.85
Step by Step Solution
- Step 1: Write the proportion equation
299,278.24 : 412,434.12 = 214,247.68 : x - Step 2: Convert to fraction form
299,278.24/412,434.12 = 214,247.68/x - Step 3: Cross multiply
299,278.24x = 412,434.12 × 214,247.68 - Step 4: Simplify right side
299,278.24x = 88,363,053,362.84 - Step 5: Solve for x
x = 88,363,053,362.84/299,278.24 - Step 6: Final answer
x = 295,253.85
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1.5x scale
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.