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Finding the Fourth Proportional to 322,018.72, 483,028.08 and 100,420

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Solution

The fourth proportional to 322,018.72, 483,028.08 and 100,420 is: 150,630

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,018.72 : 483,028.08 = 100,420 : x
  2. Step 2: Convert to fraction form
    322,018.72/483,028.08 = 100,420/x
  3. Step 3: Cross multiply
    322,018.72x = 483,028.08 × 100,420
  4. Step 4: Simplify right side
    322,018.72x = 48,505,679,793.60
  5. Step 5: Solve for x
    x = 48,505,679,793.60/322,018.72
  6. Step 6: Final answer
    x = 150,630

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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.