Finding the Fourth Proportional to 491,571,376.16, 678,389,107.92 and 282,727,577.12
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Solution
The fourth proportional to 491,571,376.16, 678,389,107.92 and 282,727,577.12 is: 390,175,909.60
Step by Step Solution
- Step 1: Write the proportion equation
491,571,376.16 : 678,389,107.92 = 282,727,577.12 : x - Step 2: Convert to fraction form
491,571,376.16/678,389,107.92 = 282,727,577.12/x - Step 3: Cross multiply
491,571,376.16x = 678,389,107.92 × 282,727,577.12 - Step 4: Simplify right side
491,571,376.16x = 191,799,308,826,819,808 - Step 5: Solve for x
x = 191,799,308,826,819,808/491,571,376.16 - Step 6: Final answer
x = 390,175,909.60
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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.