Finding the Fourth Proportional to 409,372,471.55, 565,206,703.05 and 242,162,449.49
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Solution
The fourth proportional to 409,372,471.55, 565,206,703.05 and 242,162,449.49 is: 334,345,490.21
Step by Step Solution
- Step 1: Write the proportion equation
409,372,471.55 : 565,206,703.05 = 242,162,449.49 : x - Step 2: Convert to fraction form
409,372,471.55/565,206,703.05 = 242,162,449.49/x - Step 3: Cross multiply
409,372,471.55x = 565,206,703.05 × 242,162,449.49 - Step 4: Simplify right side
409,372,471.55x = 136,871,839,675,929,024 - Step 5: Solve for x
x = 136,871,839,675,929,024/409,372,471.55 - Step 6: Final answer
x = 334,345,490.21
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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.