Finding the Fourth Proportional to 1,298,065,819.44, 1,791,948,524.58 and 869,640,807.36
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Solution
The fourth proportional to 1,298,065,819.44, 1,791,948,524.58 and 869,640,807.36 is: 1,200,518,138.85
Step by Step Solution
- Step 1: Write the proportion equation
1,298,065,819.44 : 1,791,948,524.58 = 869,640,807.36 : x - Step 2: Convert to fraction form
1,298,065,819.44/1,791,948,524.58 = 869,640,807.36/x - Step 3: Cross multiply
1,298,065,819.44x = 1,791,948,524.58 × 869,640,807.36 - Step 4: Simplify right side
1,298,065,819.44x = 1,558,351,561,663,311,872 - Step 5: Solve for x
x = 1,558,351,561,663,311,872/1,298,065,819.44 - Step 6: Final answer
x = 1,200,518,138.85
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.