Finding the Fourth Proportional to 1,121,278,492.80, 1,681,901,992.80 and 507,861,734.40
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Solution
The fourth proportional to 1,121,278,492.80, 1,681,901,992.80 and 507,861,734.40 is: 761,785,469.57
Step by Step Solution
- Step 1: Write the proportion equation
1,121,278,492.80 : 1,681,901,992.80 = 507,861,734.40 : x - Step 2: Convert to fraction form
1,121,278,492.80/1,681,901,992.80 = 507,861,734.40/x - Step 3: Cross multiply
1,121,278,492.80x = 1,681,901,992.80 × 507,861,734.40 - Step 4: Simplify right side
1,121,278,492.80x = 854,173,663,154,224,256 - Step 5: Solve for x
x = 854,173,663,154,224,256/1,121,278,492.80 - Step 6: Final answer
x = 761,785,469.57
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.