Finding the Fourth Proportional to 326,087,602,457.84, 488,967,756,364.42 and 189,993,708,299.68
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Solution
The fourth proportional to 326,087,602,457.84, 488,967,756,364.42 and 189,993,708,299.68 is: 284,895,213,956.08
Step by Step Solution
- Step 1: Write the proportion equation
326,087,602,457.84 : 488,967,756,364.42 = 189,993,708,299.68 : x - Step 2: Convert to fraction form
326,087,602,457.84/488,967,756,364.42 = 189,993,708,299.68/x - Step 3: Cross multiply
326,087,602,457.84x = 488,967,756,364.42 × 189,993,708,299.68 - Step 4: Simplify right side
326,087,602,457.84x = 92,900,797,270,650,601,340,928 - Step 5: Solve for x
x = 92,900,797,270,650,601,340,928/326,087,602,457.84 - Step 6: Final answer
x = 284,895,213,956.08
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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.