Finding the Fourth Proportional to 744,446,769.12, 1,027,344,143.88 and 409,950,397.08
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Solution
The fourth proportional to 744,446,769.12, 1,027,344,143.88 and 409,950,397.08 is: 565,735,734.50
Step by Step Solution
- Step 1: Write the proportion equation
744,446,769.12 : 1,027,344,143.88 = 409,950,397.08 : x - Step 2: Convert to fraction form
744,446,769.12/1,027,344,143.88 = 409,950,397.08/x - Step 3: Cross multiply
744,446,769.12x = 1,027,344,143.88 × 409,950,397.08 - Step 4: Simplify right side
744,446,769.12x = 421,160,139,721,418,624 - Step 5: Solve for x
x = 421,160,139,721,418,624/744,446,769.12 - Step 6: Final answer
x = 565,735,734.50
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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.