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Finding the Fourth Proportional to 509,722.22, 764,288.13 and 172,649.90

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Solution

The fourth proportional to 509,722.22, 764,288.13 and 172,649.90 is: 258,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,722.22 : 764,288.13 = 172,649.90 : x
  2. Step 2: Convert to fraction form
    509,722.22/764,288.13 = 172,649.90/x
  3. Step 3: Cross multiply
    509,722.22x = 764,288.13 × 172,649.90
  4. Step 4: Simplify right side
    509,722.22x = 131,954,269,215.69
  5. Step 5: Solve for x
    x = 131,954,269,215.69/509,722.22
  6. Step 6: Final answer
    x = 258,874.86

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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.