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Finding the Fourth Proportional to 414,992.80, 622,780.80 and 265,596.40

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Solution

The fourth proportional to 414,992.80, 622,780.80 and 265,596.40 is: 398,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,992.80 : 622,780.80 = 265,596.40 : x
  2. Step 2: Convert to fraction form
    414,992.80/622,780.80 = 265,596.40/x
  3. Step 3: Cross multiply
    414,992.80x = 622,780.80 × 265,596.40
  4. Step 4: Simplify right side
    414,992.80x = 165,408,338,469.12
  5. Step 5: Solve for x
    x = 165,408,338,469.12/414,992.80
  6. Step 6: Final answer
    x = 398,581.22

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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.