Finding the Fourth Proportional to 534,305,350,580, 737,341,858,920.26 and 290,434,819,439.70
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Solution
The fourth proportional to 534,305,350,580, 737,341,858,920.26 and 290,434,819,439.70 is: 400,800,309,089.88
Step by Step Solution
- Step 1: Write the proportion equation
534,305,350,580 : 737,341,858,920.26 = 290,434,819,439.70 : x - Step 2: Convert to fraction form
534,305,350,580/737,341,858,920.26 = 290,434,819,439.70/x - Step 3: Cross multiply
534,305,350,580x = 737,341,858,920.26 × 290,434,819,439.70 - Step 4: Simplify right side
534,305,350,580x = 214,149,749,660,838,470,352,896 - Step 5: Solve for x
x = 214,149,749,660,838,470,352,896/534,305,350,580 - Step 6: Final answer
x = 400,800,309,089.88
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1.5x scale
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.