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Finding the Fourth Proportional to 409,416.12, 614,469.24 and 172,928.52

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Solution

The fourth proportional to 409,416.12, 614,469.24 and 172,928.52 is: 259,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,416.12 : 614,469.24 = 172,928.52 : x
  2. Step 2: Convert to fraction form
    409,416.12/614,469.24 = 172,928.52/x
  3. Step 3: Cross multiply
    409,416.12x = 614,469.24 × 172,928.52
  4. Step 4: Simplify right side
    409,416.12x = 106,259,256,258.73
  5. Step 5: Solve for x
    x = 106,259,256,258.73/409,416.12
  6. Step 6: Final answer
    x = 259,538.53

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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.