Finding the Fourth Proportional to 1,404,103,401.70, 2,106,155,102.55 and 678,509,289.70
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Solution
The fourth proportional to 1,404,103,401.70, 2,106,155,102.55 and 678,509,289.70 is: 1,017,763,934.55
Step by Step Solution
- Step 1: Write the proportion equation
1,404,103,401.70 : 2,106,155,102.55 = 678,509,289.70 : x - Step 2: Convert to fraction form
1,404,103,401.70/2,106,155,102.55 = 678,509,289.70/x - Step 3: Cross multiply
1,404,103,401.70x = 2,106,155,102.55 × 678,509,289.70 - Step 4: Simplify right side
1,404,103,401.70x = 1,429,045,802,629,231,104 - Step 5: Solve for x
x = 1,429,045,802,629,231,104/1,404,103,401.70 - Step 6: Final answer
x = 1,017,763,934.55
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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.