Finding the Fourth Proportional to 857,539.47, 1,183,396.41 and 470,346.96
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Solution
The fourth proportional to 857,539.47, 1,183,396.41 and 470,346.96 is: 649,074.38
Step by Step Solution
- Step 1: Write the proportion equation
857,539.47 : 1,183,396.41 = 470,346.96 : x - Step 2: Convert to fraction form
857,539.47/1,183,396.41 = 470,346.96/x - Step 3: Cross multiply
857,539.47x = 1,183,396.41 × 470,346.96 - Step 4: Simplify right side
857,539.47x = 556,606,903,918.41 - Step 5: Solve for x
x = 556,606,903,918.41/857,539.47 - Step 6: Final answer
x = 649,074.38
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1.5x scale
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.