Finding the Fourth Proportional to 415,097.40, 622,646.10 and 378,355.80
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Solution
The fourth proportional to 415,097.40, 622,646.10 and 378,355.80 is: 567,533.70
Step by Step Solution
- Step 1: Write the proportion equation
415,097.40 : 622,646.10 = 378,355.80 : x - Step 2: Convert to fraction form
415,097.40/622,646.10 = 378,355.80/x - Step 3: Cross multiply
415,097.40x = 622,646.10 × 378,355.80 - Step 4: Simplify right side
415,097.40x = 235,581,763,282.38 - Step 5: Solve for x
x = 235,581,763,282.38/415,097.40 - Step 6: Final answer
x = 567,533.70
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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.