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Finding the Fourth Proportional to 307,186.98, 423,919.98 and 171,229.55

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Solution

The fourth proportional to 307,186.98, 423,919.98 and 171,229.55 is: 236,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,186.98 : 423,919.98 = 171,229.55 : x
  2. Step 2: Convert to fraction form
    307,186.98/423,919.98 = 171,229.55/x
  3. Step 3: Cross multiply
    307,186.98x = 423,919.98 × 171,229.55
  4. Step 4: Simplify right side
    307,186.98x = 72,587,625,291.81
  5. Step 5: Solve for x
    x = 72,587,625,291.81/307,186.98
  6. Step 6: Final answer
    x = 236,297.86

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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.