Finding the Fourth Proportional to 730,584.24, 1,008,202.86 and 408,294.14
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Solution
The fourth proportional to 730,584.24, 1,008,202.86 and 408,294.14 is: 563,444.02
Step by Step Solution
- Step 1: Write the proportion equation
730,584.24 : 1,008,202.86 = 408,294.14 : x - Step 2: Convert to fraction form
730,584.24/1,008,202.86 = 408,294.14/x - Step 3: Cross multiply
730,584.24x = 1,008,202.86 × 408,294.14 - Step 4: Simplify right side
730,584.24x = 411,643,319,669.24 - Step 5: Solve for x
x = 411,643,319,669.24/730,584.24 - Step 6: Final answer
x = 563,444.02
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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.