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Finding the Fourth Proportional to 275,811.20, 413,921.60 and 109,718.40

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Solution

The fourth proportional to 275,811.20, 413,921.60 and 109,718.40 is: 164,659.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,811.20 : 413,921.60 = 109,718.40 : x
  2. Step 2: Convert to fraction form
    275,811.20/413,921.60 = 109,718.40/x
  3. Step 3: Cross multiply
    275,811.20x = 413,921.60 × 109,718.40
  4. Step 4: Simplify right side
    275,811.20x = 45,414,815,677.44
  5. Step 5: Solve for x
    x = 45,414,815,677.44/275,811.20
  6. Step 6: Final answer
    x = 164,659.07

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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.