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Finding the Fourth Proportional to 426,497.92, 639,747.64 and 110,954.32

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Solution

The fourth proportional to 426,497.92, 639,747.64 and 110,954.32 is: 166,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,497.92 : 639,747.64 = 110,954.32 : x
  2. Step 2: Convert to fraction form
    426,497.92/639,747.64 = 110,954.32/x
  3. Step 3: Cross multiply
    426,497.92x = 639,747.64 × 110,954.32
  4. Step 4: Simplify right side
    426,497.92x = 70,982,764,367.80
  5. Step 5: Solve for x
    x = 70,982,764,367.80/426,497.92
  6. Step 6: Final answer
    x = 166,431.68

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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.