Finding the Fourth Proportional to 231,787,013,205.60, 347,648,271,181.20 and 74,768,447,368.80
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Solution
The fourth proportional to 231,787,013,205.60, 347,648,271,181.20 and 74,768,447,368.80 is: 112,142,268,486.84
Step by Step Solution
- Step 1: Write the proportion equation
231,787,013,205.60 : 347,648,271,181.20 = 74,768,447,368.80 : x - Step 2: Convert to fraction form
231,787,013,205.60/347,648,271,181.20 = 74,768,447,368.80/x - Step 3: Cross multiply
231,787,013,205.60x = 347,648,271,181.20 × 74,768,447,368.80 - Step 4: Simplify right side
231,787,013,205.60x = 25,993,121,466,665,865,838,592 - Step 5: Solve for x
x = 25,993,121,466,665,865,838,592/231,787,013,205.60 - Step 6: Final answer
x = 112,142,268,486.84
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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.