Finding the Fourth Proportional to 327,232,406.70, 490,848,610.05 and 204,788,400.30
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Solution
The fourth proportional to 327,232,406.70, 490,848,610.05 and 204,788,400.30 is: 307,182,600.45
Step by Step Solution
- Step 1: Write the proportion equation
327,232,406.70 : 490,848,610.05 = 204,788,400.30 : x - Step 2: Convert to fraction form
327,232,406.70/490,848,610.05 = 204,788,400.30/x - Step 3: Cross multiply
327,232,406.70x = 490,848,610.05 × 204,788,400.30 - Step 4: Simplify right side
327,232,406.70x = 100,520,101,641,618,016 - Step 5: Solve for x
x = 100,520,101,641,618,016/327,232,406.70 - Step 6: Final answer
x = 307,182,600.45
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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.