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Finding the Fourth Proportional to 409,906, 614,949.84 and 125,635.84

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Solution

The fourth proportional to 409,906, 614,949.84 and 125,635.84 is: 188,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,906 : 614,949.84 = 125,635.84 : x
  2. Step 2: Convert to fraction form
    409,906/614,949.84 = 125,635.84/x
  3. Step 3: Cross multiply
    409,906x = 614,949.84 × 125,635.84
  4. Step 4: Simplify right side
    409,906x = 77,259,739,706.27
  5. Step 5: Solve for x
    x = 77,259,739,706.27/409,906
  6. Step 6: Final answer
    x = 188,481.60

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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.