Finding the Fourth Proportional to 301,077.53, 415,448.80 and 165,075.68
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Solution
The fourth proportional to 301,077.53, 415,448.80 and 165,075.68 is: 227,783.50
Step by Step Solution
- Step 1: Write the proportion equation
301,077.53 : 415,448.80 = 165,075.68 : x - Step 2: Convert to fraction form
301,077.53/415,448.80 = 165,075.68/x - Step 3: Cross multiply
301,077.53x = 415,448.80 × 165,075.68 - Step 4: Simplify right side
301,077.53x = 68,580,493,165.18 - Step 5: Solve for x
x = 68,580,493,165.18/301,077.53 - Step 6: Final answer
x = 227,783.50
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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.