Finding the Fourth Proportional to 512,158,293.21, 706,795,575.15 and 313,881,473.80
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Solution
The fourth proportional to 512,158,293.21, 706,795,575.15 and 313,881,473.80 is: 433,166,932.46
Step by Step Solution
- Step 1: Write the proportion equation
512,158,293.21 : 706,795,575.15 = 313,881,473.80 : x - Step 2: Convert to fraction form
512,158,293.21/706,795,575.15 = 313,881,473.80/x - Step 3: Cross multiply
512,158,293.21x = 706,795,575.15 × 313,881,473.80 - Step 4: Simplify right side
512,158,293.21x = 221,850,036,803,400,672 - Step 5: Solve for x
x = 221,850,036,803,400,672/512,158,293.21 - Step 6: Final answer
x = 433,166,932.46
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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.