Finding the Fourth Proportional to 420,396,394.76, 580,135,784.87 and 232,220,638.61
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Solution
The fourth proportional to 420,396,394.76, 580,135,784.87 and 232,220,638.61 is: 320,458,272.53
Step by Step Solution
- Step 1: Write the proportion equation
420,396,394.76 : 580,135,784.87 = 232,220,638.61 : x - Step 2: Convert to fraction form
420,396,394.76/580,135,784.87 = 232,220,638.61/x - Step 3: Cross multiply
420,396,394.76x = 580,135,784.87 × 232,220,638.61 - Step 4: Simplify right side
420,396,394.76x = 134,719,502,443,024,992 - Step 5: Solve for x
x = 134,719,502,443,024,992/420,396,394.76 - Step 6: Final answer
x = 320,458,272.53
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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.