Finding the Fourth Proportional to 1,384,442,725.16, 2,075,998,015.02 and 463,675,134.44
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Solution
The fourth proportional to 1,384,442,725.16, 2,075,998,015.02 and 463,675,134.44 is: 695,289,621.75
Step by Step Solution
- Step 1: Write the proportion equation
1,384,442,725.16 : 2,075,998,015.02 = 463,675,134.44 : x - Step 2: Convert to fraction form
1,384,442,725.16/2,075,998,015.02 = 463,675,134.44/x - Step 3: Cross multiply
1,384,442,725.16x = 2,075,998,015.02 × 463,675,134.44 - Step 4: Simplify right side
1,384,442,725.16x = 962,588,658,711,571,584 - Step 5: Solve for x
x = 962,588,658,711,571,584/1,384,442,725.16 - Step 6: Final answer
x = 695,289,621.75
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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.