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Finding the Fourth Proportional to 392,812.44, 542,096.82 and 223,062.36

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Solution

The fourth proportional to 392,812.44, 542,096.82 and 223,062.36 is: 307,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,812.44 : 542,096.82 = 223,062.36 : x
  2. Step 2: Convert to fraction form
    392,812.44/542,096.82 = 223,062.36/x
  3. Step 3: Cross multiply
    392,812.44x = 542,096.82 × 223,062.36
  4. Step 4: Simplify right side
    392,812.44x = 120,921,396,017.70
  5. Step 5: Solve for x
    x = 120,921,396,017.70/392,812.44
  6. Step 6: Final answer
    x = 307,834.95

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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.