Finding the Fourth Proportional to 413,686.28, 570,889.14 and 232,405.88
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Solution
The fourth proportional to 413,686.28, 570,889.14 and 232,405.88 is: 320,721.28
Step by Step Solution
- Step 1: Write the proportion equation
413,686.28 : 570,889.14 = 232,405.88 : x - Step 2: Convert to fraction form
413,686.28/570,889.14 = 232,405.88/x - Step 3: Cross multiply
413,686.28x = 570,889.14 × 232,405.88 - Step 4: Simplify right side
413,686.28x = 132,677,992,964.14 - Step 5: Solve for x
x = 132,677,992,964.14/413,686.28 - Step 6: Final answer
x = 320,721.28
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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.