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Finding the Fourth Proportional to 280,865.60, 422,047.20 and 154,606.40

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Solution

The fourth proportional to 280,865.60, 422,047.20 and 154,606.40 is: 232,321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,865.60 : 422,047.20 = 154,606.40 : x
  2. Step 2: Convert to fraction form
    280,865.60/422,047.20 = 154,606.40/x
  3. Step 3: Cross multiply
    280,865.60x = 422,047.20 × 154,606.40
  4. Step 4: Simplify right side
    280,865.60x = 65,251,198,222.08
  5. Step 5: Solve for x
    x = 65,251,198,222.08/280,865.60
  6. Step 6: Final answer
    x = 232,321.79

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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.