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Finding the Fourth Proportional to 321,629.70, 482,041.35 and 163,920.90

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Solution

The fourth proportional to 321,629.70, 482,041.35 and 163,920.90 is: 245,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,629.70 : 482,041.35 = 163,920.90 : x
  2. Step 2: Convert to fraction form
    321,629.70/482,041.35 = 163,920.90/x
  3. Step 3: Cross multiply
    321,629.70x = 482,041.35 × 163,920.90
  4. Step 4: Simplify right side
    321,629.70x = 79,016,651,929.22
  5. Step 5: Solve for x
    x = 79,016,651,929.22/321,629.70
  6. Step 6: Final answer
    x = 245,675.86

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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.