Finding the Fourth Proportional to 747,738.14, 1,031,873.38 and 408,206.39
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Solution
The fourth proportional to 747,738.14, 1,031,873.38 and 408,206.39 is: 563,321.95
Step by Step Solution
- Step 1: Write the proportion equation
747,738.14 : 1,031,873.38 = 408,206.39 : x - Step 2: Convert to fraction form
747,738.14/1,031,873.38 = 408,206.39/x - Step 3: Cross multiply
747,738.14x = 1,031,873.38 × 408,206.39 - Step 4: Simplify right side
747,738.14x = 421,217,301,207.02 - Step 5: Solve for x
x = 421,217,301,207.02/747,738.14 - Step 6: Final answer
x = 563,321.95
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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.