Finding the Fourth Proportional to 410,115,786.84, 565,965,101.70 and 224,472,816.72
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Solution
The fourth proportional to 410,115,786.84, 565,965,101.70 and 224,472,816.72 is: 309,775,396.66
Step by Step Solution
- Step 1: Write the proportion equation
410,115,786.84 : 565,965,101.70 = 224,472,816.72 : x - Step 2: Convert to fraction form
410,115,786.84/565,965,101.70 = 224,472,816.72/x - Step 3: Cross multiply
410,115,786.84x = 565,965,101.70 × 224,472,816.72 - Step 4: Simplify right side
410,115,786.84x = 127,043,780,543,820,272 - Step 5: Solve for x
x = 127,043,780,543,820,272/410,115,786.84 - Step 6: Final answer
x = 309,775,396.66
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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.