Finding the Fourth Proportional to 409,805,745.76, 614,751,680.56 and 133,478,477.92
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Solution
The fourth proportional to 409,805,745.76, 614,751,680.56 and 133,478,477.92 is: 200,231,742.65
Step by Step Solution
- Step 1: Write the proportion equation
409,805,745.76 : 614,751,680.56 = 133,478,477.92 : x - Step 2: Convert to fraction form
409,805,745.76/614,751,680.56 = 133,478,477.92/x - Step 3: Cross multiply
409,805,745.76x = 614,751,680.56 × 133,478,477.92 - Step 4: Simplify right side
409,805,745.76x = 82,056,118,619,910,848 - Step 5: Solve for x
x = 82,056,118,619,910,848/409,805,745.76 - Step 6: Final answer
x = 200,231,742.65
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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.