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Finding the Fourth Proportional to 392,047.34, 587,283.69 and 331,817.36

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Solution

The fourth proportional to 392,047.34, 587,283.69 and 331,817.36 is: 497,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,047.34 : 587,283.69 = 331,817.36 : x
  2. Step 2: Convert to fraction form
    392,047.34/587,283.69 = 331,817.36/x
  3. Step 3: Cross multiply
    392,047.34x = 587,283.69 × 331,817.36
  4. Step 4: Simplify right side
    392,047.34x = 194,870,923,586.86
  5. Step 5: Solve for x
    x = 194,870,923,586.86/392,047.34
  6. Step 6: Final answer
    x = 497,059.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.