Finding the Fourth Proportional to 242,296,759.80, 363,445,139.70 and 146,745,271.80
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Solution
The fourth proportional to 242,296,759.80, 363,445,139.70 and 146,745,271.80 is: 220,117,907.70
Step by Step Solution
- Step 1: Write the proportion equation
242,296,759.80 : 363,445,139.70 = 146,745,271.80 : x - Step 2: Convert to fraction form
242,296,759.80/363,445,139.70 = 146,745,271.80/x - Step 3: Cross multiply
242,296,759.80x = 363,445,139.70 × 146,745,271.80 - Step 4: Simplify right side
242,296,759.80x = 53,333,855,809,665,472 - Step 5: Solve for x
x = 53,333,855,809,665,472/242,296,759.80 - Step 6: Final answer
x = 220,117,907.70
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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.