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Finding the Fourth Proportional to 392,425.78, 541,651.14 and 231,388.12

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Solution

The fourth proportional to 392,425.78, 541,651.14 and 231,388.12 is: 319,376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,425.78 : 541,651.14 = 231,388.12 : x
  2. Step 2: Convert to fraction form
    392,425.78/541,651.14 = 231,388.12/x
  3. Step 3: Cross multiply
    392,425.78x = 541,651.14 × 231,388.12
  4. Step 4: Simplify right side
    392,425.78x = 125,331,638,980.46
  5. Step 5: Solve for x
    x = 125,331,638,980.46/392,425.78
  6. Step 6: Final answer
    x = 319,376.67

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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.