Finding the Fourth Proportional to 413,048.26, 569,971.65 and 231,735.70
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Solution
The fourth proportional to 413,048.26, 569,971.65 and 231,735.70 is: 319,775.66
Step by Step Solution
- Step 1: Write the proportion equation
413,048.26 : 569,971.65 = 231,735.70 : x - Step 2: Convert to fraction form
413,048.26/569,971.65 = 231,735.70/x - Step 3: Cross multiply
413,048.26x = 569,971.65 × 231,735.70 - Step 4: Simplify right side
413,048.26x = 132,082,779,292.91 - Step 5: Solve for x
x = 132,082,779,292.91/413,048.26 - Step 6: Final answer
x = 319,775.66
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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.