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Finding the Fourth Proportional to 422,357.68, 582,632.64 and 261,161.20

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Solution

The fourth proportional to 422,357.68, 582,632.64 and 261,161.20 is: 360,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,357.68 : 582,632.64 = 261,161.20 : x
  2. Step 2: Convert to fraction form
    422,357.68/582,632.64 = 261,161.20/x
  3. Step 3: Cross multiply
    422,357.68x = 582,632.64 × 261,161.20
  4. Step 4: Simplify right side
    422,357.68x = 152,161,039,421.57
  5. Step 5: Solve for x
    x = 152,161,039,421.57/422,357.68
  6. Step 6: Final answer
    x = 360,265.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.