Finding the Fourth Proportional to 3,459,684,085.12, 4,774,441,131.84 and 1,974,542,423.68
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Solution
The fourth proportional to 3,459,684,085.12, 4,774,441,131.84 and 1,974,542,423.68 is: 2,724,912,544.68
Step by Step Solution
- Step 1: Write the proportion equation
3,459,684,085.12 : 4,774,441,131.84 = 1,974,542,423.68 : x - Step 2: Convert to fraction form
3,459,684,085.12/4,774,441,131.84 = 1,974,542,423.68/x - Step 3: Cross multiply
3,459,684,085.12x = 4,774,441,131.84 × 1,974,542,423.68 - Step 4: Simplify right side
3,459,684,085.12x = 9,427,336,564,180,836,352 - Step 5: Solve for x
x = 9,427,336,564,180,836,352/3,459,684,085.12 - Step 6: Final answer
x = 2,724,912,544.68
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1.5x scale
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.