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Finding the Fourth Proportional to 445,102.56, 667,187.28 and 164,440.80

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Solution

The fourth proportional to 445,102.56, 667,187.28 and 164,440.80 is: 246,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,102.56 : 667,187.28 = 164,440.80 : x
  2. Step 2: Convert to fraction form
    445,102.56/667,187.28 = 164,440.80/x
  3. Step 3: Cross multiply
    445,102.56x = 667,187.28 × 164,440.80
  4. Step 4: Simplify right side
    445,102.56x = 109,712,810,073.02
  5. Step 5: Solve for x
    x = 109,712,810,073.02/445,102.56
  6. Step 6: Final answer
    x = 246,488.83

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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.