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Finding the Fourth Proportional to 321,821.28, 482,780.52 and 119,483.28

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Solution

The fourth proportional to 321,821.28, 482,780.52 and 119,483.28 is: 179,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,821.28 : 482,780.52 = 119,483.28 : x
  2. Step 2: Convert to fraction form
    321,821.28/482,780.52 = 119,483.28/x
  3. Step 3: Cross multiply
    321,821.28x = 482,780.52 × 119,483.28
  4. Step 4: Simplify right side
    321,821.28x = 57,684,200,049.71
  5. Step 5: Solve for x
    x = 57,684,200,049.71/321,821.28
  6. Step 6: Final answer
    x = 179,242.96

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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.