Finding the Fourth Proportional to 471,092,415.52, 706,311,390.34 and 208,633,946.31
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Solution
The fourth proportional to 471,092,415.52, 706,311,390.34 and 208,633,946.31 is: 312,805,996.95
Step by Step Solution
- Step 1: Write the proportion equation
471,092,415.52 : 706,311,390.34 = 208,633,946.31 : x - Step 2: Convert to fraction form
471,092,415.52/706,311,390.34 = 208,633,946.31/x - Step 3: Cross multiply
471,092,415.52x = 706,311,390.34 × 208,633,946.31 - Step 4: Simplify right side
471,092,415.52x = 147,360,532,690,337,024 - Step 5: Solve for x
x = 147,360,532,690,337,024/471,092,415.52 - Step 6: Final answer
x = 312,805,996.95
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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.