Finding the Fourth Proportional to 731,516.13, 1,009,493.75 and 409,231.62
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Solution
The fourth proportional to 731,516.13, 1,009,493.75 and 409,231.62 is: 564,740.47
Step by Step Solution
- Step 1: Write the proportion equation
731,516.13 : 1,009,493.75 = 409,231.62 : x - Step 2: Convert to fraction form
731,516.13/1,009,493.75 = 409,231.62/x - Step 3: Cross multiply
731,516.13x = 1,009,493.75 × 409,231.62 - Step 4: Simplify right side
731,516.13x = 413,116,763,715.45 - Step 5: Solve for x
x = 413,116,763,715.45/731,516.13 - Step 6: Final answer
x = 564,740.47
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1.5x scale
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.