Finding the Fourth Proportional to 768,041,811.12, 1,059,900,491.34 and 415,617,765.24
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Solution
The fourth proportional to 768,041,811.12, 1,059,900,491.34 and 415,617,765.24 is: 573,554,026.89
Step by Step Solution
- Step 1: Write the proportion equation
768,041,811.12 : 1,059,900,491.34 = 415,617,765.24 : x - Step 2: Convert to fraction form
768,041,811.12/1,059,900,491.34 = 415,617,765.24/x - Step 3: Cross multiply
768,041,811.12x = 1,059,900,491.34 × 415,617,765.24 - Step 4: Simplify right side
768,041,811.12x = 440,513,473,587,508,800 - Step 5: Solve for x
x = 440,513,473,587,508,800/768,041,811.12 - Step 6: Final answer
x = 573,554,026.89
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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.