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Finding the Fourth Proportional to 309,609.57, 427,264.74 and 171,791.01

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Solution

The fourth proportional to 309,609.57, 427,264.74 and 171,791.01 is: 237,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,609.57 : 427,264.74 = 171,791.01 : x
  2. Step 2: Convert to fraction form
    309,609.57/427,264.74 = 171,791.01/x
  3. Step 3: Cross multiply
    309,609.57x = 427,264.74 × 171,791.01
  4. Step 4: Simplify right side
    309,609.57x = 73,400,241,221.99
  5. Step 5: Solve for x
    x = 73,400,241,221.99/309,609.57
  6. Step 6: Final answer
    x = 237,073.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.