Finding the Fourth Proportional to 397,104,967.20, 595,657,450.80 and 295,068,295.20
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Solution
The fourth proportional to 397,104,967.20, 595,657,450.80 and 295,068,295.20 is: 442,602,442.80
Step by Step Solution
- Step 1: Write the proportion equation
397,104,967.20 : 595,657,450.80 = 295,068,295.20 : x - Step 2: Convert to fraction form
397,104,967.20/595,657,450.80 = 295,068,295.20/x - Step 3: Cross multiply
397,104,967.20x = 595,657,450.80 × 295,068,295.20 - Step 4: Simplify right side
397,104,967.20x = 175,759,628,530,733,856 - Step 5: Solve for x
x = 175,759,628,530,733,856/397,104,967.20 - Step 6: Final answer
x = 442,602,442.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.