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Finding the Fourth Proportional to 415,949.44, 623,976 and 135,391.36

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Solution

The fourth proportional to 415,949.44, 623,976 and 135,391.36 is: 203,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,949.44 : 623,976 = 135,391.36 : x
  2. Step 2: Convert to fraction form
    415,949.44/623,976 = 135,391.36/x
  3. Step 3: Cross multiply
    415,949.44x = 623,976 × 135,391.36
  4. Step 4: Simplify right side
    415,949.44x = 84,480,959,247.36
  5. Step 5: Solve for x
    x = 84,480,959,247.36/415,949.44
  6. Step 6: Final answer
    x = 203,103.91

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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.