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Finding the Fourth Proportional to 378,729.54, 522,174.02 and 242,539.58

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Solution

The fourth proportional to 378,729.54, 522,174.02 and 242,539.58 is: 334,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,729.54 : 522,174.02 = 242,539.58 : x
  2. Step 2: Convert to fraction form
    378,729.54/522,174.02 = 242,539.58/x
  3. Step 3: Cross multiply
    378,729.54x = 522,174.02 × 242,539.58
  4. Step 4: Simplify right side
    378,729.54x = 126,647,867,497.71
  5. Step 5: Solve for x
    x = 126,647,867,497.71/378,729.54
  6. Step 6: Final answer
    x = 334,401.87

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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.