Finding the Fourth Proportional to 419,135.97, 578,420.69 and 228,162.09
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Solution
The fourth proportional to 419,135.97, 578,420.69 and 228,162.09 is: 314,870.79
Step by Step Solution
- Step 1: Write the proportion equation
419,135.97 : 578,420.69 = 228,162.09 : x - Step 2: Convert to fraction form
419,135.97/578,420.69 = 228,162.09/x - Step 3: Cross multiply
419,135.97x = 578,420.69 × 228,162.09 - Step 4: Simplify right side
419,135.97x = 131,973,673,529.64 - Step 5: Solve for x
x = 131,973,673,529.64/419,135.97 - Step 6: Final answer
x = 314,870.79
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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.