Finding the Fourth Proportional to 305,042,706.33, 420,959,205.98 and 165,813,468.09
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Solution
The fourth proportional to 305,042,706.33, 420,959,205.98 and 165,813,468.09 is: 228,822,733.41
Step by Step Solution
- Step 1: Write the proportion equation
305,042,706.33 : 420,959,205.98 = 165,813,468.09 : x - Step 2: Convert to fraction form
305,042,706.33/420,959,205.98 = 165,813,468.09/x - Step 3: Cross multiply
305,042,706.33x = 420,959,205.98 × 165,813,468.09 - Step 4: Simplify right side
305,042,706.33x = 69,800,705,867,956,472 - Step 5: Solve for x
x = 69,800,705,867,956,472/305,042,706.33 - Step 6: Final answer
x = 228,822,733.41
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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.