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Finding the Fourth Proportional to 374,103.16, 561,378.30 and 137,469.76

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Solution

The fourth proportional to 374,103.16, 561,378.30 and 137,469.76 is: 206,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,103.16 : 561,378.30 = 137,469.76 : x
  2. Step 2: Convert to fraction form
    374,103.16/561,378.30 = 137,469.76/x
  3. Step 3: Cross multiply
    374,103.16x = 561,378.30 × 137,469.76
  4. Step 4: Simplify right side
    374,103.16x = 77,172,540,170.21
  5. Step 5: Solve for x
    x = 77,172,540,170.21/374,103.16
  6. Step 6: Final answer
    x = 206,286.79

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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.