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Finding the Fourth Proportional to 392,538.88, 541,774.56 and 231,384.64

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Solution

The fourth proportional to 392,538.88, 541,774.56 and 231,384.64 is: 319,352.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,538.88 : 541,774.56 = 231,384.64 : x
  2. Step 2: Convert to fraction form
    392,538.88/541,774.56 = 231,384.64/x
  3. Step 3: Cross multiply
    392,538.88x = 541,774.56 × 231,384.64
  4. Step 4: Simplify right side
    392,538.88x = 125,358,311,526.76
  5. Step 5: Solve for x
    x = 125,358,311,526.76/392,538.88
  6. Step 6: Final answer
    x = 319,352.60

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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.