Finding the Fourth Proportional to 305,042,706.08, 420,959,205.64 and 165,813,467.84
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Solution
The fourth proportional to 305,042,706.08, 420,959,205.64 and 165,813,467.84 is: 228,822,733.07
Step by Step Solution
- Step 1: Write the proportion equation
305,042,706.08 : 420,959,205.64 = 165,813,467.84 : x - Step 2: Convert to fraction form
305,042,706.08/420,959,205.64 = 165,813,467.84/x - Step 3: Cross multiply
305,042,706.08x = 420,959,205.64 × 165,813,467.84 - Step 4: Simplify right side
305,042,706.08x = 69,800,705,706,977,952 - Step 5: Solve for x
x = 69,800,705,706,977,952/305,042,706.08 - Step 6: Final answer
x = 228,822,733.07
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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.