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Finding the Fourth Proportional to 392,911.76, 542,283.46 and 231,806.42

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Solution

The fourth proportional to 392,911.76, 542,283.46 and 231,806.42 is: 319,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,911.76 : 542,283.46 = 231,806.42 : x
  2. Step 2: Convert to fraction form
    392,911.76/542,283.46 = 231,806.42/x
  3. Step 3: Cross multiply
    392,911.76x = 542,283.46 × 231,806.42
  4. Step 4: Simplify right side
    392,911.76x = 125,704,787,487.81
  5. Step 5: Solve for x
    x = 125,704,787,487.81/392,911.76
  6. Step 6: Final answer
    x = 319,931.34

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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.