Finding the Fourth Proportional to 828,923.21, 1,143,912.26 and 466,347.32
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Solution
The fourth proportional to 828,923.21, 1,143,912.26 and 466,347.32 is: 643,558.31
Step by Step Solution
- Step 1: Write the proportion equation
828,923.21 : 1,143,912.26 = 466,347.32 : x - Step 2: Convert to fraction form
828,923.21/1,143,912.26 = 466,347.32/x - Step 3: Cross multiply
828,923.21x = 1,143,912.26 × 466,347.32 - Step 4: Simplify right side
828,923.21x = 533,460,416,766.14 - Step 5: Solve for x
x = 533,460,416,766.14/828,923.21 - Step 6: Final answer
x = 643,558.31
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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.