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Finding the Fourth Proportional to 442,201.20, 663,396.24 and 142,698.80

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Solution

The fourth proportional to 442,201.20, 663,396.24 and 142,698.80 is: 214,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,201.20 : 663,396.24 = 142,698.80 : x
  2. Step 2: Convert to fraction form
    442,201.20/663,396.24 = 142,698.80/x
  3. Step 3: Cross multiply
    442,201.20x = 663,396.24 × 142,698.80
  4. Step 4: Simplify right side
    442,201.20x = 94,665,847,372.51
  5. Step 5: Solve for x
    x = 94,665,847,372.51/442,201.20
  6. Step 6: Final answer
    x = 214,078.68

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1.5x scale

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.