Finding the Fourth Proportional to 698,507.36, 964,056.12 and 412,097.84
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Solution
The fourth proportional to 698,507.36, 964,056.12 and 412,097.84 is: 568,763.43
Step by Step Solution
- Step 1: Write the proportion equation
698,507.36 : 964,056.12 = 412,097.84 : x - Step 2: Convert to fraction form
698,507.36/964,056.12 = 412,097.84/x - Step 3: Cross multiply
698,507.36x = 964,056.12 × 412,097.84 - Step 4: Simplify right side
698,507.36x = 397,285,444,690.78 - Step 5: Solve for x
x = 397,285,444,690.78/698,507.36 - Step 6: Final answer
x = 568,763.43
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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.