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Finding the Fourth Proportional to 312,458.40, 468,640.08 and 102,096

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Solution

The fourth proportional to 312,458.40, 468,640.08 and 102,096 is: 153,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,458.40 : 468,640.08 = 102,096 : x
  2. Step 2: Convert to fraction form
    312,458.40/468,640.08 = 102,096/x
  3. Step 3: Cross multiply
    312,458.40x = 468,640.08 × 102,096
  4. Step 4: Simplify right side
    312,458.40x = 47,846,277,607.68
  5. Step 5: Solve for x
    x = 47,846,277,607.68/312,458.40
  6. Step 6: Final answer
    x = 153,128.47

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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.