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Finding the Fourth Proportional to 280,296.45, 420,575.90 and 122,504.40

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Solution

The fourth proportional to 280,296.45, 420,575.90 and 122,504.40 is: 183,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,296.45 : 420,575.90 = 122,504.40 : x
  2. Step 2: Convert to fraction form
    280,296.45/420,575.90 = 122,504.40/x
  3. Step 3: Cross multiply
    280,296.45x = 420,575.90 × 122,504.40
  4. Step 4: Simplify right side
    280,296.45x = 51,522,397,671.44
  5. Step 5: Solve for x
    x = 51,522,397,671.44/280,296.45
  6. Step 6: Final answer
    x = 183,813.95

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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.