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Finding the Fourth Proportional to 274,408.20, 412,487.10 and 258,661.80

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Solution

The fourth proportional to 274,408.20, 412,487.10 and 258,661.80 is: 388,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,408.20 : 412,487.10 = 258,661.80 : x
  2. Step 2: Convert to fraction form
    274,408.20/412,487.10 = 258,661.80/x
  3. Step 3: Cross multiply
    274,408.20x = 412,487.10 × 258,661.80
  4. Step 4: Simplify right side
    274,408.20x = 106,694,655,762.78
  5. Step 5: Solve for x
    x = 106,694,655,762.78/274,408.20
  6. Step 6: Final answer
    x = 388,817.30

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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.