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Finding the Fourth Proportional to 392,782.44, 542,055.42 and 223,032.36

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Solution

The fourth proportional to 392,782.44, 542,055.42 and 223,032.36 is: 307,793.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,782.44 : 542,055.42 = 223,032.36 : x
  2. Step 2: Convert to fraction form
    392,782.44/542,055.42 = 223,032.36/x
  3. Step 3: Cross multiply
    392,782.44x = 542,055.42 × 223,032.36
  4. Step 4: Simplify right side
    392,782.44x = 120,895,899,573.39
  5. Step 5: Solve for x
    x = 120,895,899,573.39/392,782.44
  6. Step 6: Final answer
    x = 307,793.54

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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.