Finding the Fourth Proportional to 403,488,000.20, 605,232,000.30 and 199,414,656.20
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Solution
The fourth proportional to 403,488,000.20, 605,232,000.30 and 199,414,656.20 is: 299,121,984.30
Step by Step Solution
- Step 1: Write the proportion equation
403,488,000.20 : 605,232,000.30 = 199,414,656.20 : x - Step 2: Convert to fraction form
403,488,000.20/605,232,000.30 = 199,414,656.20/x - Step 3: Cross multiply
403,488,000.20x = 605,232,000.30 × 199,414,656.20 - Step 4: Simplify right side
403,488,000.20x = 120,692,131,261,062,784 - Step 5: Solve for x
x = 120,692,131,261,062,784/403,488,000.20 - Step 6: Final answer
x = 299,121,984.30
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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.