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Finding the Fourth Proportional to 307,774.92, 461,824.89 and 218,395.20

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Solution

The fourth proportional to 307,774.92, 461,824.89 and 218,395.20 is: 327,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,774.92 : 461,824.89 = 218,395.20 : x
  2. Step 2: Convert to fraction form
    307,774.92/461,824.89 = 218,395.20/x
  3. Step 3: Cross multiply
    307,774.92x = 461,824.89 × 218,395.20
  4. Step 4: Simplify right side
    307,774.92x = 100,860,339,216.53
  5. Step 5: Solve for x
    x = 100,860,339,216.53/307,774.92
  6. Step 6: Final answer
    x = 327,708.12

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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.