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Finding the Fourth Proportional to 617,149.10, 925,390.74 and 280,005.84

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Solution

The fourth proportional to 617,149.10, 925,390.74 and 280,005.84 is: 419,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,149.10 : 925,390.74 = 280,005.84 : x
  2. Step 2: Convert to fraction form
    617,149.10/925,390.74 = 280,005.84/x
  3. Step 3: Cross multiply
    617,149.10x = 925,390.74 × 280,005.84
  4. Step 4: Simplify right side
    617,149.10x = 259,114,811,481.92
  5. Step 5: Solve for x
    x = 259,114,811,481.92/617,149.10
  6. Step 6: Final answer
    x = 419,857.72

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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.