Finding the Fourth Proportional to 291,898,737,097.12, 437,688,490,121.57 and 231,779,204,192.10
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Solution
The fourth proportional to 291,898,737,097.12, 437,688,490,121.57 and 231,779,204,192.10 is: 347,542,065,215.12
Step by Step Solution
- Step 1: Write the proportion equation
291,898,737,097.12 : 437,688,490,121.57 = 231,779,204,192.10 : x - Step 2: Convert to fraction form
291,898,737,097.12/437,688,490,121.57 = 231,779,204,192.10/x - Step 3: Cross multiply
291,898,737,097.12x = 437,688,490,121.57 × 231,779,204,192.10 - Step 4: Simplify right side
291,898,737,097.12x = 101,447,089,924,419,321,069,568 - Step 5: Solve for x
x = 101,447,089,924,419,321,069,568/291,898,737,097.12 - Step 6: Final answer
x = 347,542,065,215.12
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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.