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Finding the Fourth Proportional to 269,689.60, 404,647.80 and 144,884.80

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Solution

The fourth proportional to 269,689.60, 404,647.80 and 144,884.80 is: 217,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,689.60 : 404,647.80 = 144,884.80 : x
  2. Step 2: Convert to fraction form
    269,689.60/404,647.80 = 144,884.80/x
  3. Step 3: Cross multiply
    269,689.60x = 404,647.80 × 144,884.80
  4. Step 4: Simplify right side
    269,689.60x = 58,627,315,573.44
  5. Step 5: Solve for x
    x = 58,627,315,573.44/269,689.60
  6. Step 6: Final answer
    x = 217,388.12

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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.