Finding the Fourth Proportional to 510,943,660.81, 705,102,560.82 and 275,994,425.09
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Solution
The fourth proportional to 510,943,660.81, 705,102,560.82 and 275,994,425.09 is: 380,872,473.48
Step by Step Solution
- Step 1: Write the proportion equation
510,943,660.81 : 705,102,560.82 = 275,994,425.09 : x - Step 2: Convert to fraction form
510,943,660.81/705,102,560.82 = 275,994,425.09/x - Step 3: Cross multiply
510,943,660.81x = 705,102,560.82 × 275,994,425.09 - Step 4: Simplify right side
510,943,660.81x = 194,604,375,899,477,152 - Step 5: Solve for x
x = 194,604,375,899,477,152/510,943,660.81 - Step 6: Final answer
x = 380,872,473.48
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.