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Finding the Fourth Proportional to 321,929.72, 482,940.66 and 100,331

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Solution

The fourth proportional to 321,929.72, 482,940.66 and 100,331 is: 150,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,929.72 : 482,940.66 = 100,331 : x
  2. Step 2: Convert to fraction form
    321,929.72/482,940.66 = 100,331/x
  3. Step 3: Cross multiply
    321,929.72x = 482,940.66 × 100,331
  4. Step 4: Simplify right side
    321,929.72x = 48,453,919,358.46
  5. Step 5: Solve for x
    x = 48,453,919,358.46/321,929.72
  6. Step 6: Final answer
    x = 150,510.86

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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.