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Finding the Fourth Proportional to 280,593.60, 420,760.80 and 122,740.80

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Solution

The fourth proportional to 280,593.60, 420,760.80 and 122,740.80 is: 184,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,593.60 : 420,760.80 = 122,740.80 : x
  2. Step 2: Convert to fraction form
    280,593.60/420,760.80 = 122,740.80/x
  3. Step 3: Cross multiply
    280,593.60x = 420,760.80 × 122,740.80
  4. Step 4: Simplify right side
    280,593.60x = 51,644,517,200.64
  5. Step 5: Solve for x
    x = 51,644,517,200.64/280,593.60
  6. Step 6: Final answer
    x = 184,054.51

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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.