Finding the Fourth Proportional to 747,734.07, 1,031,867.77 and 408,202.32
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Solution
The fourth proportional to 747,734.07, 1,031,867.77 and 408,202.32 is: 563,316.34
Step by Step Solution
- Step 1: Write the proportion equation
747,734.07 : 1,031,867.77 = 408,202.32 : x - Step 2: Convert to fraction form
747,734.07/1,031,867.77 = 408,202.32/x - Step 3: Cross multiply
747,734.07x = 1,031,867.77 × 408,202.32 - Step 4: Simplify right side
747,734.07x = 421,210,817,647.23 - Step 5: Solve for x
x = 421,210,817,647.23/747,734.07 - Step 6: Final answer
x = 563,316.34
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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.