Finding the Fourth Proportional to 734,774.14, 1,013,932.33 and 412,421.95
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Solution
The fourth proportional to 734,774.14, 1,013,932.33 and 412,421.95 is: 569,110.88
Step by Step Solution
- Step 1: Write the proportion equation
734,774.14 : 1,013,932.33 = 412,421.95 : x - Step 2: Convert to fraction form
734,774.14/1,013,932.33 = 412,421.95/x - Step 3: Cross multiply
734,774.14x = 1,013,932.33 × 412,421.95 - Step 4: Simplify right side
734,774.14x = 418,167,951,504.67 - Step 5: Solve for x
x = 418,167,951,504.67/734,774.14 - Step 6: Final answer
x = 569,110.88
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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.