Finding the Fourth Proportional to 471,276,860.14, 706,430,243.43 and 209,084,888.50
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Solution
The fourth proportional to 471,276,860.14, 706,430,243.43 and 209,084,888.50 is: 313,412,138.75
Step by Step Solution
- Step 1: Write the proportion equation
471,276,860.14 : 706,430,243.43 = 209,084,888.50 : x - Step 2: Convert to fraction form
471,276,860.14/706,430,243.43 = 209,084,888.50/x - Step 3: Cross multiply
471,276,860.14x = 706,430,243.43 × 209,084,888.50 - Step 4: Simplify right side
471,276,860.14x = 147,703,888,680,589,408 - Step 5: Solve for x
x = 147,703,888,680,589,408/471,276,860.14 - Step 6: Final answer
x = 313,412,138.75
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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.