Finding the Fourth Proportional to 736,193.36, 1,015,976.16 and 413,902.46
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Solution
The fourth proportional to 736,193.36, 1,015,976.16 and 413,902.46 is: 571,201.88
Step by Step Solution
- Step 1: Write the proportion equation
736,193.36 : 1,015,976.16 = 413,902.46 : x - Step 2: Convert to fraction form
736,193.36/1,015,976.16 = 413,902.46/x - Step 3: Cross multiply
736,193.36x = 1,015,976.16 × 413,902.46 - Step 4: Simplify right side
736,193.36x = 420,515,031,925.35 - Step 5: Solve for x
x = 420,515,031,925.35/736,193.36 - Step 6: Final answer
x = 571,201.88
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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.