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Finding the Fourth Proportional to 458,794.53, 687,415.28 and 280,930.14

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Solution

The fourth proportional to 458,794.53, 687,415.28 and 280,930.14 is: 420,919.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,794.53 : 687,415.28 = 280,930.14 : x
  2. Step 2: Convert to fraction form
    458,794.53/687,415.28 = 280,930.14/x
  3. Step 3: Cross multiply
    458,794.53x = 687,415.28 × 280,930.14
  4. Step 4: Simplify right side
    458,794.53x = 193,115,669,443.89
  5. Step 5: Solve for x
    x = 193,115,669,443.89/458,794.53
  6. Step 6: Final answer
    x = 420,919.73

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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.