Finding the Fourth Proportional to 498,604,047.68, 751,309,408.64 and 409,718,768.96
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Solution
The fourth proportional to 498,604,047.68, 751,309,408.64 and 409,718,768.96 is: 617,374,783.55
Step by Step Solution
- Step 1: Write the proportion equation
498,604,047.68 : 751,309,408.64 = 409,718,768.96 : x - Step 2: Convert to fraction form
498,604,047.68/751,309,408.64 = 409,718,768.96/x - Step 3: Cross multiply
498,604,047.68x = 751,309,408.64 × 409,718,768.96 - Step 4: Simplify right side
498,604,047.68x = 307,825,566,016,046,336 - Step 5: Solve for x
x = 307,825,566,016,046,336/498,604,047.68 - Step 6: Final answer
x = 617,374,783.55
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.