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Finding the Fourth Proportional to 280,515.60, 420,643.80 and 122,662.80

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Solution

The fourth proportional to 280,515.60, 420,643.80 and 122,662.80 is: 183,937.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,515.60 : 420,643.80 = 122,662.80 : x
  2. Step 2: Convert to fraction form
    280,515.60/420,643.80 = 122,662.80/x
  3. Step 3: Cross multiply
    280,515.60x = 420,643.80 × 122,662.80
  4. Step 4: Simplify right side
    280,515.60x = 51,597,346,310.64
  5. Step 5: Solve for x
    x = 51,597,346,310.64/280,515.60
  6. Step 6: Final answer
    x = 183,937.53

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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.