Finding the Fourth Proportional to 821,398.14, 1,133,531.19 and 463,702.14
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Solution
The fourth proportional to 821,398.14, 1,133,531.19 and 463,702.14 is: 639,909.94
Step by Step Solution
- Step 1: Write the proportion equation
821,398.14 : 1,133,531.19 = 463,702.14 : x - Step 2: Convert to fraction form
821,398.14/1,133,531.19 = 463,702.14/x - Step 3: Cross multiply
821,398.14x = 1,133,531.19 × 463,702.14 - Step 4: Simplify right side
821,398.14x = 525,620,838,559.75 - Step 5: Solve for x
x = 525,620,838,559.75/821,398.14 - Step 6: Final answer
x = 639,909.94
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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.