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Finding the Fourth Proportional to 392,911.78, 542,283.48 and 231,806.41

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Solution

The fourth proportional to 392,911.78, 542,283.48 and 231,806.41 is: 319,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,911.78 : 542,283.48 = 231,806.41 : x
  2. Step 2: Convert to fraction form
    392,911.78/542,283.48 = 231,806.41/x
  3. Step 3: Cross multiply
    392,911.78x = 542,283.48 × 231,806.41
  4. Step 4: Simplify right side
    392,911.78x = 125,704,786,701.11
  5. Step 5: Solve for x
    x = 125,704,786,701.11/392,911.78
  6. Step 6: Final answer
    x = 319,931.33

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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.