Finding the Fourth Proportional to 729,691.71, 1,006,964.76 and 407,406.75
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Solution
The fourth proportional to 729,691.71, 1,006,964.76 and 407,406.75 is: 562,215.84
Step by Step Solution
- Step 1: Write the proportion equation
729,691.71 : 1,006,964.76 = 407,406.75 : x - Step 2: Convert to fraction form
729,691.71/1,006,964.76 = 407,406.75/x - Step 3: Cross multiply
729,691.71x = 1,006,964.76 × 407,406.75 - Step 4: Simplify right side
729,691.71x = 410,244,240,236.13 - Step 5: Solve for x
x = 410,244,240,236.13/729,691.71 - Step 6: Final answer
x = 562,215.84
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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.