Finding the Fourth Proportional to 510,939,013.98, 705,096,122.99 and 275,989,676.76
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Solution
The fourth proportional to 510,939,013.98, 705,096,122.99 and 275,989,676.76 is: 380,865,907.17
Step by Step Solution
- Step 1: Write the proportion equation
510,939,013.98 : 705,096,122.99 = 275,989,676.76 : x - Step 2: Convert to fraction form
510,939,013.98/705,096,122.99 = 275,989,676.76/x - Step 3: Cross multiply
510,939,013.98x = 705,096,122.99 × 275,989,676.76 - Step 4: Simplify right side
510,939,013.98x = 194,599,251,068,907,648 - Step 5: Solve for x
x = 194,599,251,068,907,648/510,939,013.98 - Step 6: Final answer
x = 380,865,907.17
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1.5x scale
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.