Finding the Fourth Proportional to 320,359,600,201.96, 442,096,686,072.14 and 173,872,063,867.99
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Solution
The fourth proportional to 320,359,600,201.96, 442,096,686,072.14 and 173,872,063,867.99 is: 239,943,685,745.96
Step by Step Solution
- Step 1: Write the proportion equation
320,359,600,201.96 : 442,096,686,072.14 = 173,872,063,867.99 : x - Step 2: Convert to fraction form
320,359,600,201.96/442,096,686,072.14 = 173,872,063,867.99/x - Step 3: Cross multiply
320,359,600,201.96x = 442,096,686,072.14 × 173,872,063,867.99 - Step 4: Simplify right side
320,359,600,201.96x = 76,868,263,236,561,841,160,192 - Step 5: Solve for x
x = 76,868,263,236,561,841,160,192/320,359,600,201.96 - Step 6: Final answer
x = 239,943,685,745.96
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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.