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Finding the Fourth Proportional to 409,819.56, 614,729.34 and 320,014.05

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Solution

The fourth proportional to 409,819.56, 614,729.34 and 320,014.05 is: 480,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,819.56 : 614,729.34 = 320,014.05 : x
  2. Step 2: Convert to fraction form
    409,819.56/614,729.34 = 320,014.05/x
  3. Step 3: Cross multiply
    409,819.56x = 614,729.34 × 320,014.05
  4. Step 4: Simplify right side
    409,819.56x = 196,722,025,747.23
  5. Step 5: Solve for x
    x = 196,722,025,747.23/409,819.56
  6. Step 6: Final answer
    x = 480,021.08

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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.