Finding the Fourth Proportional to 728,785.96, 1,005,721.99 and 406,495.81
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Solution
The fourth proportional to 728,785.96, 1,005,721.99 and 406,495.81 is: 560,962.75
Step by Step Solution
- Step 1: Write the proportion equation
728,785.96 : 1,005,721.99 = 406,495.81 : x - Step 2: Convert to fraction form
728,785.96/1,005,721.99 = 406,495.81/x - Step 3: Cross multiply
728,785.96x = 1,005,721.99 × 406,495.81 - Step 4: Simplify right side
728,785.96x = 408,821,774,959.86 - Step 5: Solve for x
x = 408,821,774,959.86/728,785.96 - Step 6: Final answer
x = 560,962.75
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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.