Finding the Fourth Proportional to 1,307,069,731.35, 1,960,989,262.74 and 421,738,482.38
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Solution
The fourth proportional to 1,307,069,731.35, 1,960,989,262.74 and 421,738,482.38 is: 632,731,839.61
Step by Step Solution
- Step 1: Write the proportion equation
1,307,069,731.35 : 1,960,989,262.74 = 421,738,482.38 : x - Step 2: Convert to fraction form
1,307,069,731.35/1,960,989,262.74 = 421,738,482.38/x - Step 3: Cross multiply
1,307,069,731.35x = 1,960,989,262.74 × 421,738,482.38 - Step 4: Simplify right side
1,307,069,731.35x = 827,024,635,621,637,760 - Step 5: Solve for x
x = 827,024,635,621,637,760/1,307,069,731.35 - Step 6: Final answer
x = 632,731,839.61
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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.