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Finding the Fourth Proportional to 442,408, 663,614.43 and 109,984

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Solution

The fourth proportional to 442,408, 663,614.43 and 109,984 is: 164,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,408 : 663,614.43 = 109,984 : x
  2. Step 2: Convert to fraction form
    442,408/663,614.43 = 109,984/x
  3. Step 3: Cross multiply
    442,408x = 663,614.43 × 109,984
  4. Step 4: Simplify right side
    442,408x = 72,986,969,469.12
  5. Step 5: Solve for x
    x = 72,986,969,469.12/442,408
  6. Step 6: Final answer
    x = 164,976.60

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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.