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Finding the Fourth Proportional to 280,674.21, 421,311.02 and 120,829.26

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Solution

The fourth proportional to 280,674.21, 421,311.02 and 120,829.26 is: 181,372.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,674.21 : 421,311.02 = 120,829.26 : x
  2. Step 2: Convert to fraction form
    280,674.21/421,311.02 = 120,829.26/x
  3. Step 3: Cross multiply
    280,674.21x = 421,311.02 × 120,829.26
  4. Step 4: Simplify right side
    280,674.21x = 50,906,698,776.45
  5. Step 5: Solve for x
    x = 50,906,698,776.45/280,674.21
  6. Step 6: Final answer
    x = 181,372.91

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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.