Finding the Fourth Proportional to 299,924.13, 413,896.14 and 163,959.71
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Solution
The fourth proportional to 299,924.13, 413,896.14 and 163,959.71 is: 226,264.86
Step by Step Solution
- Step 1: Write the proportion equation
299,924.13 : 413,896.14 = 163,959.71 : x - Step 2: Convert to fraction form
299,924.13/413,896.14 = 163,959.71/x - Step 3: Cross multiply
299,924.13x = 413,896.14 × 163,959.71 - Step 4: Simplify right side
299,924.13x = 67,862,290,264.72 - Step 5: Solve for x
x = 67,862,290,264.72/299,924.13 - Step 6: Final answer
x = 226,264.86
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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.