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Finding the Fourth Proportional to 342,756.24, 472,857 and 206,712.84

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Solution

The fourth proportional to 342,756.24, 472,857 and 206,712.84 is: 285,175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,756.24 : 472,857 = 206,712.84 : x
  2. Step 2: Convert to fraction form
    342,756.24/472,857 = 206,712.84/x
  3. Step 3: Cross multiply
    342,756.24x = 472,857 × 206,712.84
  4. Step 4: Simplify right side
    342,756.24x = 97,745,613,383.88
  5. Step 5: Solve for x
    x = 97,745,613,383.88/342,756.24
  6. Step 6: Final answer
    x = 285,175.30

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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.