Finding the Fourth Proportional to 297,419,494.21, 410,420,909.54 and 165,255,971.65
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Solution
The fourth proportional to 297,419,494.21, 410,420,909.54 and 165,255,971.65 is: 228,043,243.67
Step by Step Solution
- Step 1: Write the proportion equation
297,419,494.21 : 410,420,909.54 = 165,255,971.65 : x - Step 2: Convert to fraction form
297,419,494.21/410,420,909.54 = 165,255,971.65/x - Step 3: Cross multiply
297,419,494.21x = 410,420,909.54 × 165,255,971.65 - Step 4: Simplify right side
297,419,494.21x = 67,824,506,191,196,208 - Step 5: Solve for x
x = 67,824,506,191,196,208/297,419,494.21 - Step 6: Final answer
x = 228,043,243.67
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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.