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Finding the Fourth Proportional to 391,409.20, 586,422.60 and 320,906.80

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Solution

The fourth proportional to 391,409.20, 586,422.60 and 320,906.80 is: 480,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,409.20 : 586,422.60 = 320,906.80 : x
  2. Step 2: Convert to fraction form
    391,409.20/586,422.60 = 320,906.80/x
  3. Step 3: Cross multiply
    391,409.20x = 586,422.60 × 320,906.80
  4. Step 4: Simplify right side
    391,409.20x = 188,187,000,013.68
  5. Step 5: Solve for x
    x = 188,187,000,013.68/391,409.20
  6. Step 6: Final answer
    x = 480,793.50

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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.