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Finding the Fourth Proportional to 392,707.28, 542,255.64 and 320,121.56

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Solution

The fourth proportional to 392,707.28, 542,255.64 and 320,121.56 is: 442,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,707.28 : 542,255.64 = 320,121.56 : x
  2. Step 2: Convert to fraction form
    392,707.28/542,255.64 = 320,121.56/x
  3. Step 3: Cross multiply
    392,707.28x = 542,255.64 × 320,121.56
  4. Step 4: Simplify right side
    392,707.28x = 173,587,721,395.60
  5. Step 5: Solve for x
    x = 173,587,721,395.60/392,707.28
  6. Step 6: Final answer
    x = 442,028.27

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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.