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Finding the Fourth Proportional to 274,984.88, 412,469.76 and 87,993.68

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Solution

The fourth proportional to 274,984.88, 412,469.76 and 87,993.68 is: 131,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,984.88 : 412,469.76 = 87,993.68 : x
  2. Step 2: Convert to fraction form
    274,984.88/412,469.76 = 87,993.68/x
  3. Step 3: Cross multiply
    274,984.88x = 412,469.76 × 87,993.68
  4. Step 4: Simplify right side
    274,984.88x = 36,294,732,071.12
  5. Step 5: Solve for x
    x = 36,294,732,071.12/274,984.88
  6. Step 6: Final answer
    x = 131,988.10

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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.