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Finding the Fourth Proportional to 269,827, 404,760.48 and 103,615

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Solution

The fourth proportional to 269,827, 404,760.48 and 103,615 is: 155,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,827 : 404,760.48 = 103,615 : x
  2. Step 2: Convert to fraction form
    269,827/404,760.48 = 103,615/x
  3. Step 3: Cross multiply
    269,827x = 404,760.48 × 103,615
  4. Step 4: Simplify right side
    269,827x = 41,939,257,135.20
  5. Step 5: Solve for x
    x = 41,939,257,135.20/269,827
  6. Step 6: Final answer
    x = 155,430.17

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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.