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Finding the Fourth Proportional to 280,422.80, 420,480.60 and 114,022.80

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Solution

The fourth proportional to 280,422.80, 420,480.60 and 114,022.80 is: 170,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,422.80 : 420,480.60 = 114,022.80 : x
  2. Step 2: Convert to fraction form
    280,422.80/420,480.60 = 114,022.80/x
  3. Step 3: Cross multiply
    280,422.80x = 420,480.60 × 114,022.80
  4. Step 4: Simplify right side
    280,422.80x = 47,944,375,357.68
  5. Step 5: Solve for x
    x = 47,944,375,357.68/280,422.80
  6. Step 6: Final answer
    x = 170,971.74

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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.