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Finding the Fourth Proportional to 442,200.20, 663,297.60 and 126,657.68

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Solution

The fourth proportional to 442,200.20, 663,297.60 and 126,657.68 is: 189,985.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,200.20 : 663,297.60 = 126,657.68 : x
  2. Step 2: Convert to fraction form
    442,200.20/663,297.60 = 126,657.68/x
  3. Step 3: Cross multiply
    442,200.20x = 663,297.60 × 126,657.68
  4. Step 4: Simplify right side
    442,200.20x = 84,011,735,165.57
  5. Step 5: Solve for x
    x = 84,011,735,165.57/442,200.20
  6. Step 6: Final answer
    x = 189,985.75

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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.