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Finding the Fourth Proportional to 441,408, 662,215.68 and 145,920

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Solution

The fourth proportional to 441,408, 662,215.68 and 145,920 is: 218,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,408 : 662,215.68 = 145,920 : x
  2. Step 2: Convert to fraction form
    441,408/662,215.68 = 145,920/x
  3. Step 3: Cross multiply
    441,408x = 662,215.68 × 145,920
  4. Step 4: Simplify right side
    441,408x = 96,630,512,025.60
  5. Step 5: Solve for x
    x = 96,630,512,025.60/441,408
  6. Step 6: Final answer
    x = 218,914.27

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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.