Finding the Fourth Proportional to 1,798,360,861.14, 2,697,726,282.75 and 678,827,522.70
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Solution
The fourth proportional to 1,798,360,861.14, 2,697,726,282.75 and 678,827,522.70 is: 1,018,311,112.64
Step by Step Solution
- Step 1: Write the proportion equation
1,798,360,861.14 : 2,697,726,282.75 = 678,827,522.70 : x - Step 2: Convert to fraction form
1,798,360,861.14/2,697,726,282.75 = 678,827,522.70/x - Step 3: Cross multiply
1,798,360,861.14x = 2,697,726,282.75 × 678,827,522.70 - Step 4: Simplify right side
1,798,360,861.14x = 1,831,290,849,441,862,400 - Step 5: Solve for x
x = 1,831,290,849,441,862,400/1,798,360,861.14 - Step 6: Final answer
x = 1,018,311,112.64
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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.