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Finding the Fourth Proportional to 392,294.76, 587,699.76 and 231,890.46

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Solution

The fourth proportional to 392,294.76, 587,699.76 and 231,890.46 is: 347,396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,294.76 : 587,699.76 = 231,890.46 : x
  2. Step 2: Convert to fraction form
    392,294.76/587,699.76 = 231,890.46/x
  3. Step 3: Cross multiply
    392,294.76x = 587,699.76 × 231,890.46
  4. Step 4: Simplify right side
    392,294.76x = 136,281,967,688.29
  5. Step 5: Solve for x
    x = 136,281,967,688.29/392,294.76
  6. Step 6: Final answer
    x = 347,396.86

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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.