Finding the Fourth Proportional to 842,202.24, 1,162,219.92 and 460,231.32
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Solution
The fourth proportional to 842,202.24, 1,162,219.92 and 460,231.32 is: 635,108.75
Step by Step Solution
- Step 1: Write the proportion equation
842,202.24 : 1,162,219.92 = 460,231.32 : x - Step 2: Convert to fraction form
842,202.24/1,162,219.92 = 460,231.32/x - Step 3: Cross multiply
842,202.24x = 1,162,219.92 × 460,231.32 - Step 4: Simplify right side
842,202.24x = 534,890,007,911.89 - Step 5: Solve for x
x = 534,890,007,911.89/842,202.24 - Step 6: Final answer
x = 635,108.75
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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.