Finding the Fourth Proportional to 409,471,984.80, 614,207,977.20 and 133,122,664.80
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Solution
The fourth proportional to 409,471,984.80, 614,207,977.20 and 133,122,664.80 is: 199,683,997.20
Step by Step Solution
- Step 1: Write the proportion equation
409,471,984.80 : 614,207,977.20 = 133,122,664.80 : x - Step 2: Convert to fraction form
409,471,984.80/614,207,977.20 = 133,122,664.80/x - Step 3: Cross multiply
409,471,984.80x = 614,207,977.20 × 133,122,664.80 - Step 4: Simplify right side
409,471,984.80x = 81,765,002,666,281,648 - Step 5: Solve for x
x = 81,765,002,666,281,648/409,471,984.80 - Step 6: Final answer
x = 199,683,997.20
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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.