Finding the Fourth Proportional to 280,410,101.96, 420,239,177.15 and 218,236,490.64
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Solution
The fourth proportional to 280,410,101.96, 420,239,177.15 and 218,236,490.64 is: 327,062,122.98
Step by Step Solution
- Step 1: Write the proportion equation
280,410,101.96 : 420,239,177.15 = 218,236,490.64 : x - Step 2: Convert to fraction form
280,410,101.96/420,239,177.15 = 218,236,490.64/x - Step 3: Cross multiply
280,410,101.96x = 420,239,177.15 × 218,236,490.64 - Step 4: Simplify right side
280,410,101.96x = 91,711,523,249,566,080 - Step 5: Solve for x
x = 91,711,523,249,566,080/280,410,101.96 - Step 6: Final answer
x = 327,062,122.98
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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.