Finding the Fourth Proportional to 413,021,336.94, 569,948,943.15 and 227,378,366.82
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Solution
The fourth proportional to 413,021,336.94, 569,948,943.15 and 227,378,366.82 is: 313,770,859.45
Step by Step Solution
- Step 1: Write the proportion equation
413,021,336.94 : 569,948,943.15 = 227,378,366.82 : x - Step 2: Convert to fraction form
413,021,336.94/569,948,943.15 = 227,378,366.82/x - Step 3: Cross multiply
413,021,336.94x = 569,948,943.15 × 227,378,366.82 - Step 4: Simplify right side
413,021,336.94x = 129,594,059,864,232,016 - Step 5: Solve for x
x = 129,594,059,864,232,016/413,021,336.94 - Step 6: Final answer
x = 313,770,859.45
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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.