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Finding the Fourth Proportional to 409,140.56, 613,732.71 and 128,679.68

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Solution

The fourth proportional to 409,140.56, 613,732.71 and 128,679.68 is: 193,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,140.56 : 613,732.71 = 128,679.68 : x
  2. Step 2: Convert to fraction form
    409,140.56/613,732.71 = 128,679.68/x
  3. Step 3: Cross multiply
    409,140.56x = 613,732.71 × 128,679.68
  4. Step 4: Simplify right side
    409,140.56x = 78,974,930,745.21
  5. Step 5: Solve for x
    x = 78,974,930,745.21/409,140.56
  6. Step 6: Final answer
    x = 193,026.40

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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.