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Finding the Fourth Proportional to 392,869.54, 542,145.63 and 240,163.48

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Solution

The fourth proportional to 392,869.54, 542,145.63 and 240,163.48 is: 331,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,869.54 : 542,145.63 = 240,163.48 : x
  2. Step 2: Convert to fraction form
    392,869.54/542,145.63 = 240,163.48/x
  3. Step 3: Cross multiply
    392,869.54x = 542,145.63 × 240,163.48
  4. Step 4: Simplify right side
    392,869.54x = 130,203,581,167.59
  5. Step 5: Solve for x
    x = 130,203,581,167.59/392,869.54
  6. Step 6: Final answer
    x = 331,416.84

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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.