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Finding the Fourth Proportional to 321,990.96, 482,358.12 and 210,846

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Solution

The fourth proportional to 321,990.96, 482,358.12 and 210,846 is: 315,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,990.96 : 482,358.12 = 210,846 : x
  2. Step 2: Convert to fraction form
    321,990.96/482,358.12 = 210,846/x
  3. Step 3: Cross multiply
    321,990.96x = 482,358.12 × 210,846
  4. Step 4: Simplify right side
    321,990.96x = 101,703,280,169.52
  5. Step 5: Solve for x
    x = 101,703,280,169.52/321,990.96
  6. Step 6: Final answer
    x = 315,857.56

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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.