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Finding the Fourth Proportional to 274,640.40, 411,960.60 and 97,347.60

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Solution

The fourth proportional to 274,640.40, 411,960.60 and 97,347.60 is: 146,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,640.40 : 411,960.60 = 97,347.60 : x
  2. Step 2: Convert to fraction form
    274,640.40/411,960.60 = 97,347.60/x
  3. Step 3: Cross multiply
    274,640.40x = 411,960.60 × 97,347.60
  4. Step 4: Simplify right side
    274,640.40x = 40,103,375,704.56
  5. Step 5: Solve for x
    x = 40,103,375,704.56/274,640.40
  6. Step 6: Final answer
    x = 146,021.40

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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.