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Finding the Fourth Proportional to 392,874.22, 542,170.21 and 223,109.56

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Solution

The fourth proportional to 392,874.22, 542,170.21 and 223,109.56 is: 307,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,874.22 : 542,170.21 = 223,109.56 : x
  2. Step 2: Convert to fraction form
    392,874.22/542,170.21 = 223,109.56/x
  3. Step 3: Cross multiply
    392,874.22x = 542,170.21 × 223,109.56
  4. Step 4: Simplify right side
    392,874.22x = 120,963,354,287.36
  5. Step 5: Solve for x
    x = 120,963,354,287.36/392,874.22
  6. Step 6: Final answer
    x = 307,893.34

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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.