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Finding the Fourth Proportional to 392,308.41, 541,369.67 and 222,538.89

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Solution

The fourth proportional to 392,308.41, 541,369.67 and 222,538.89 is: 307,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,308.41 : 541,369.67 = 222,538.89 : x
  2. Step 2: Convert to fraction form
    392,308.41/541,369.67 = 222,538.89/x
  3. Step 3: Cross multiply
    392,308.41x = 541,369.67 × 222,538.89
  4. Step 4: Simplify right side
    392,308.41x = 120,475,804,328.77
  5. Step 5: Solve for x
    x = 120,475,804,328.77/392,308.41
  6. Step 6: Final answer
    x = 307,094.63

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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.