Finding the Fourth Proportional to 709,576,005,872.98, 1,064,364,021,105.20 and 172,350,346,250.68
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Solution
The fourth proportional to 709,576,005,872.98, 1,064,364,021,105.20 and 172,350,346,250.68 is: 258,525,522,362.56
Step by Step Solution
- Step 1: Write the proportion equation
709,576,005,872.98 : 1,064,364,021,105.20 = 172,350,346,250.68 : x - Step 2: Convert to fraction form
709,576,005,872.98/1,064,364,021,105.20 = 172,350,346,250.68/x - Step 3: Cross multiply
709,576,005,872.98x = 1,064,364,021,105.20 × 172,350,346,250.68 - Step 4: Simplify right side
709,576,005,872.98x = 183,443,507,574,247,268,548,608 - Step 5: Solve for x
x = 183,443,507,574,247,268,548,608/709,576,005,872.98 - Step 6: Final answer
x = 258,525,522,362.56
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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.