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Finding the Fourth Proportional to 269,210.30, 403,815.45 and 82,221.80

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Solution

The fourth proportional to 269,210.30, 403,815.45 and 82,221.80 is: 123,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,210.30 : 403,815.45 = 82,221.80 : x
  2. Step 2: Convert to fraction form
    269,210.30/403,815.45 = 82,221.80/x
  3. Step 3: Cross multiply
    269,210.30x = 403,815.45 × 82,221.80
  4. Step 4: Simplify right side
    269,210.30x = 33,202,433,166.81
  5. Step 5: Solve for x
    x = 33,202,433,166.81/269,210.30
  6. Step 6: Final answer
    x = 123,332.70

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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.