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Finding the Fourth Proportional to 409,818.06, 614,727.09 and 320,012.55

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Solution

The fourth proportional to 409,818.06, 614,727.09 and 320,012.55 is: 480,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,818.06 : 614,727.09 = 320,012.55 : x
  2. Step 2: Convert to fraction form
    409,818.06/614,727.09 = 320,012.55/x
  3. Step 3: Cross multiply
    409,818.06x = 614,727.09 × 320,012.55
  4. Step 4: Simplify right side
    409,818.06x = 196,720,383,624.98
  5. Step 5: Solve for x
    x = 196,720,383,624.98/409,818.06
  6. Step 6: Final answer
    x = 480,018.83

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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.