Finding the Fourth Proportional to 1,416,438,143.20, 2,124,657,214.80 and 496,194,907.60
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Solution
The fourth proportional to 1,416,438,143.20, 2,124,657,214.80 and 496,194,907.60 is: 744,292,361.40
Step by Step Solution
- Step 1: Write the proportion equation
1,416,438,143.20 : 2,124,657,214.80 = 496,194,907.60 : x - Step 2: Convert to fraction form
1,416,438,143.20/2,124,657,214.80 = 496,194,907.60/x - Step 3: Cross multiply
1,416,438,143.20x = 2,124,657,214.80 × 496,194,907.60 - Step 4: Simplify right side
1,416,438,143.20x = 1,054,244,090,379,359,360 - Step 5: Solve for x
x = 1,054,244,090,379,359,360/1,416,438,143.20 - Step 6: Final answer
x = 744,292,361.40
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1.5x scale
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.