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Finding the Fourth Proportional to 389,747.90, 585,159.66 and 269,509.88

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Solution

The fourth proportional to 389,747.90, 585,159.66 and 269,509.88 is: 404,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,747.90 : 585,159.66 = 269,509.88 : x
  2. Step 2: Convert to fraction form
    389,747.90/585,159.66 = 269,509.88/x
  3. Step 3: Cross multiply
    389,747.90x = 585,159.66 × 269,509.88
  4. Step 4: Simplify right side
    389,747.90x = 157,706,309,747.44
  5. Step 5: Solve for x
    x = 157,706,309,747.44/389,747.90
  6. Step 6: Final answer
    x = 404,636.71

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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.