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Finding the Fourth Proportional to 409,140.25, 613,732.25 and 128,679.37

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Solution

The fourth proportional to 409,140.25, 613,732.25 and 128,679.37 is: 193,025.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,140.25 : 613,732.25 = 128,679.37 : x
  2. Step 2: Convert to fraction form
    409,140.25/613,732.25 = 128,679.37/x
  3. Step 3: Cross multiply
    409,140.25x = 613,732.25 × 128,679.37
  4. Step 4: Simplify right side
    409,140.25x = 78,974,678,635.29
  5. Step 5: Solve for x
    x = 78,974,678,635.29/409,140.25
  6. Step 6: Final answer
    x = 193,025.93

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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.