Finding the Fourth Proportional to 209,089,116, 288,509,590.71 and 116,270,299.08
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Solution
The fourth proportional to 209,089,116, 288,509,590.71 and 116,270,299.08 is: 160,434,445.57
Step by Step Solution
- Step 1: Write the proportion equation
209,089,116 : 288,509,590.71 = 116,270,299.08 : x - Step 2: Convert to fraction form
209,089,116/288,509,590.71 = 116,270,299.08/x - Step 3: Cross multiply
209,089,116x = 288,509,590.71 × 116,270,299.08 - Step 4: Simplify right side
209,089,116x = 33,545,096,399,300,088 - Step 5: Solve for x
x = 33,545,096,399,300,088/209,089,116 - Step 6: Final answer
x = 160,434,445.57
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1.5x scale
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.