Finding the Fourth Proportional to 747,415.50, 1,031,433.12 and 407,883.75
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Solution
The fourth proportional to 747,415.50, 1,031,433.12 and 407,883.75 is: 562,879.43
Step by Step Solution
- Step 1: Write the proportion equation
747,415.50 : 1,031,433.12 = 407,883.75 : x - Step 2: Convert to fraction form
747,415.50/1,031,433.12 = 407,883.75/x - Step 3: Cross multiply
747,415.50x = 1,031,433.12 × 407,883.75 - Step 4: Simplify right side
747,415.50x = 420,704,809,646.56 - Step 5: Solve for x
x = 420,704,809,646.56/747,415.50 - Step 6: Final answer
x = 562,879.43
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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.