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Finding the Fourth Proportional to 445,122.56, 667,217.28 and 164,460.80

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Solution

The fourth proportional to 445,122.56, 667,217.28 and 164,460.80 is: 246,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,122.56 : 667,217.28 = 164,460.80 : x
  2. Step 2: Convert to fraction form
    445,122.56/667,217.28 = 164,460.80/x
  3. Step 3: Cross multiply
    445,122.56x = 667,217.28 × 164,460.80
  4. Step 4: Simplify right side
    445,122.56x = 109,731,087,642.62
  5. Step 5: Solve for x
    x = 109,731,087,642.62/445,122.56
  6. Step 6: Final answer
    x = 246,518.82

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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.