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Finding the Fourth Proportional to 777,930.82, 1,164,695.68 and 412,359.44

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Solution

The fourth proportional to 777,930.82, 1,164,695.68 and 412,359.44 is: 617,372.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,930.82 : 1,164,695.68 = 412,359.44 : x
  2. Step 2: Convert to fraction form
    777,930.82/1,164,695.68 = 412,359.44/x
  3. Step 3: Cross multiply
    777,930.82x = 1,164,695.68 × 412,359.44
  4. Step 4: Simplify right side
    777,930.82x = 480,273,258,375.22
  5. Step 5: Solve for x
    x = 480,273,258,375.22/777,930.82
  6. Step 6: Final answer
    x = 617,372.71

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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.