Finding the Fourth Proportional to 470,201.20, 705,301.80 and 283,577.20
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Solution
The fourth proportional to 470,201.20, 705,301.80 and 283,577.20 is: 425,365.80
Step by Step Solution
- Step 1: Write the proportion equation
470,201.20 : 705,301.80 = 283,577.20 : x - Step 2: Convert to fraction form
470,201.20/705,301.80 = 283,577.20/x - Step 3: Cross multiply
470,201.20x = 705,301.80 × 283,577.20 - Step 4: Simplify right side
470,201.20x = 200,007,509,598.96 - Step 5: Solve for x
x = 200,007,509,598.96/470,201.20 - Step 6: Final answer
x = 425,365.80
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.