Finding the Fourth Proportional to 684,975.31, 1,023,262.74 and 493,804.17
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Solution
The fourth proportional to 684,975.31, 1,023,262.74 and 493,804.17 is: 737,678.28
Step by Step Solution
- Step 1: Write the proportion equation
684,975.31 : 1,023,262.74 = 493,804.17 : x - Step 2: Convert to fraction form
684,975.31/1,023,262.74 = 493,804.17/x - Step 3: Cross multiply
684,975.31x = 1,023,262.74 × 493,804.17 - Step 4: Simplify right side
684,975.31x = 505,291,408,017.63 - Step 5: Solve for x
x = 505,291,408,017.63/684,975.31 - Step 6: Final answer
x = 737,678.28
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.