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Finding the Fourth Proportional to 362,215.80, 542,286.90 and 320,743.80

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Solution

The fourth proportional to 362,215.80, 542,286.90 and 320,743.80 is: 480,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,215.80 : 542,286.90 = 320,743.80 : x
  2. Step 2: Convert to fraction form
    362,215.80/542,286.90 = 320,743.80/x
  3. Step 3: Cross multiply
    362,215.80x = 542,286.90 × 320,743.80
  4. Step 4: Simplify right side
    362,215.80x = 173,935,160,996.22
  5. Step 5: Solve for x
    x = 173,935,160,996.22/362,215.80
  6. Step 6: Final answer
    x = 480,197.61

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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.