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Finding the Fourth Proportional to 269,509.60, 404,005.20 and 209,504.80

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Solution

The fourth proportional to 269,509.60, 404,005.20 and 209,504.80 is: 314,055.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,509.60 : 404,005.20 = 209,504.80 : x
  2. Step 2: Convert to fraction form
    269,509.60/404,005.20 = 209,504.80/x
  3. Step 3: Cross multiply
    269,509.60x = 404,005.20 × 209,504.80
  4. Step 4: Simplify right side
    269,509.60x = 84,641,028,624.96
  5. Step 5: Solve for x
    x = 84,641,028,624.96/269,509.60
  6. Step 6: Final answer
    x = 314,055.71

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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.