Finding the Fourth Proportional to 829,298,850.18, 1,244,122,980.41 and 269,016,931.05
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Solution
The fourth proportional to 829,298,850.18, 1,244,122,980.41 and 269,016,931.05 is: 403,582,069.32
Step by Step Solution
- Step 1: Write the proportion equation
829,298,850.18 : 1,244,122,980.41 = 269,016,931.05 : x - Step 2: Convert to fraction form
829,298,850.18/1,244,122,980.41 = 269,016,931.05/x - Step 3: Cross multiply
829,298,850.18x = 1,244,122,980.41 × 269,016,931.05 - Step 4: Simplify right side
829,298,850.18x = 334,690,146,038,677,504 - Step 5: Solve for x
x = 334,690,146,038,677,504/829,298,850.18 - Step 6: Final answer
x = 403,582,069.32
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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.