Finding the Fourth Proportional to 1,447,004,476.14, 2,170,520,049.39 and 411,865,074.14
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Solution
The fourth proportional to 1,447,004,476.14, 2,170,520,049.39 and 411,865,074.14 is: 617,801,406.84
Step by Step Solution
- Step 1: Write the proportion equation
1,447,004,476.14 : 2,170,520,049.39 = 411,865,074.14 : x - Step 2: Convert to fraction form
1,447,004,476.14/2,170,520,049.39 = 411,865,074.14/x - Step 3: Cross multiply
1,447,004,476.14x = 2,170,520,049.39 × 411,865,074.14 - Step 4: Simplify right side
1,447,004,476.14x = 893,961,401,064,368,768 - Step 5: Solve for x
x = 893,961,401,064,368,768/1,447,004,476.14 - Step 6: Final answer
x = 617,801,406.84
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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.