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Finding the Fourth Proportional to 392,769.91, 542,023.12 and 223,004.04

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Solution

The fourth proportional to 392,769.91, 542,023.12 and 223,004.04 is: 307,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,769.91 : 542,023.12 = 223,004.04 : x
  2. Step 2: Convert to fraction form
    392,769.91/542,023.12 = 223,004.04/x
  3. Step 3: Cross multiply
    392,769.91x = 542,023.12 × 223,004.04
  4. Step 4: Simplify right side
    392,769.91x = 120,873,343,152.37
  5. Step 5: Solve for x
    x = 120,873,343,152.37/392,769.91
  6. Step 6: Final answer
    x = 307,745.93

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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.