Finding the Fourth Proportional to 405,985,788.14, 560,265,762.42 and 220,349,029.10
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Solution
The fourth proportional to 405,985,788.14, 560,265,762.42 and 220,349,029.10 is: 304,084,577.32
Step by Step Solution
- Step 1: Write the proportion equation
405,985,788.14 : 560,265,762.42 = 220,349,029.10 : x - Step 2: Convert to fraction form
405,985,788.14/560,265,762.42 = 220,349,029.10/x - Step 3: Cross multiply
405,985,788.14x = 560,265,762.42 × 220,349,029.10 - Step 4: Simplify right side
405,985,788.14x = 123,454,016,784,416,928 - Step 5: Solve for x
x = 123,454,016,784,416,928/405,985,788.14 - Step 6: Final answer
x = 304,084,577.32
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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.