Finding the Fourth Proportional to 498,113,135,219.03, 687,396,789,494.75 and 269,742,771,052.70
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Solution
The fourth proportional to 498,113,135,219.03, 687,396,789,494.75 and 269,742,771,052.70 is: 372,245,383,028.32
Step by Step Solution
- Step 1: Write the proportion equation
498,113,135,219.03 : 687,396,789,494.75 = 269,742,771,052.70 : x - Step 2: Convert to fraction form
498,113,135,219.03/687,396,789,494.75 = 269,742,771,052.70/x - Step 3: Cross multiply
498,113,135,219.03x = 687,396,789,494.75 × 269,742,771,052.70 - Step 4: Simplify right side
498,113,135,219.03x = 185,420,314,811,043,384,655,872 - Step 5: Solve for x
x = 185,420,314,811,043,384,655,872/498,113,135,219.03 - Step 6: Final answer
x = 372,245,383,028.32
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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.