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Finding the Fourth Proportional to 409,571.92, 614,634.66 and 143,334.76

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Solution

The fourth proportional to 409,571.92, 614,634.66 and 143,334.76 is: 215,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,571.92 : 614,634.66 = 143,334.76 : x
  2. Step 2: Convert to fraction form
    409,571.92/614,634.66 = 143,334.76/x
  3. Step 3: Cross multiply
    409,571.92x = 614,634.66 × 143,334.76
  4. Step 4: Simplify right side
    409,571.92x = 88,098,511,478.78
  5. Step 5: Solve for x
    x = 88,098,511,478.78/409,571.92
  6. Step 6: Final answer
    x = 215,099.00

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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.