Finding the Fourth Proportional to 307,471,355,558.20, 461,276,578,900.50 and 165,977,740,387
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Solution
The fourth proportional to 307,471,355,558.20, 461,276,578,900.50 and 165,977,740,387 is: 249,004,152,339.19
Step by Step Solution
- Step 1: Write the proportion equation
307,471,355,558.20 : 461,276,578,900.50 = 165,977,740,387 : x - Step 2: Convert to fraction form
307,471,355,558.20/461,276,578,900.50 = 165,977,740,387/x - Step 3: Cross multiply
307,471,355,558.20x = 461,276,578,900.50 × 165,977,740,387 - Step 4: Simplify right side
307,471,355,558.20x = 76,561,644,259,350,711,107,584 - Step 5: Solve for x
x = 76,561,644,259,350,711,107,584/307,471,355,558.20 - Step 6: Final answer
x = 249,004,152,339.19
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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.