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Finding the Fourth Proportional to 978,785.34, 1,467,934.98 and 268,778.22

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Solution

The fourth proportional to 978,785.34, 1,467,934.98 and 268,778.22 is: 403,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,785.34 : 1,467,934.98 = 268,778.22 : x
  2. Step 2: Convert to fraction form
    978,785.34/1,467,934.98 = 268,778.22/x
  3. Step 3: Cross multiply
    978,785.34x = 1,467,934.98 × 268,778.22
  4. Step 4: Simplify right side
    978,785.34x = 394,548,951,000.14
  5. Step 5: Solve for x
    x = 394,548,951,000.14/978,785.34
  6. Step 6: Final answer
    x = 403,100.59

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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.