Finding the Fourth Proportional to 869,065,175.94, 1,199,341,480.68 and 497,858,951.76
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Solution
The fourth proportional to 869,065,175.94, 1,199,341,480.68 and 497,858,951.76 is: 687,063,420.45
Step by Step Solution
- Step 1: Write the proportion equation
869,065,175.94 : 1,199,341,480.68 = 497,858,951.76 : x - Step 2: Convert to fraction form
869,065,175.94/1,199,341,480.68 = 497,858,951.76/x - Step 3: Cross multiply
869,065,175.94x = 1,199,341,480.68 × 497,858,951.76 - Step 4: Simplify right side
869,065,175.94x = 597,102,892,373,631,104 - Step 5: Solve for x
x = 597,102,892,373,631,104/869,065,175.94 - Step 6: Final answer
x = 687,063,420.45
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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.