Finding the Fourth Proportional to 204,310,209.40, 306,465,314.10 and 135,931,175.80
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Solution
The fourth proportional to 204,310,209.40, 306,465,314.10 and 135,931,175.80 is: 203,896,763.70
Step by Step Solution
- Step 1: Write the proportion equation
204,310,209.40 : 306,465,314.10 = 135,931,175.80 : x - Step 2: Convert to fraction form
204,310,209.40/306,465,314.10 = 135,931,175.80/x - Step 3: Cross multiply
204,310,209.40x = 306,465,314.10 × 135,931,175.80 - Step 4: Simplify right side
204,310,209.40x = 41,658,190,487,529,328 - Step 5: Solve for x
x = 41,658,190,487,529,328/204,310,209.40 - Step 6: Final answer
x = 203,896,763.70
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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.