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Finding the Fourth Proportional to 642,212.69, 962,863.02 and 322,134.30

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Solution

The fourth proportional to 642,212.69, 962,863.02 and 322,134.30 is: 482,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,212.69 : 962,863.02 = 322,134.30 : x
  2. Step 2: Convert to fraction form
    642,212.69/962,863.02 = 322,134.30/x
  3. Step 3: Cross multiply
    642,212.69x = 962,863.02 × 322,134.30
  4. Step 4: Simplify right side
    642,212.69x = 310,171,204,943.59
  5. Step 5: Solve for x
    x = 310,171,204,943.59/642,212.69
  6. Step 6: Final answer
    x = 482,972.72

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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.