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Finding the Fourth Proportional to 411,885.40, 617,828.10 and 252,453.10

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Solution

The fourth proportional to 411,885.40, 617,828.10 and 252,453.10 is: 378,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,885.40 : 617,828.10 = 252,453.10 : x
  2. Step 2: Convert to fraction form
    411,885.40/617,828.10 = 252,453.10/x
  3. Step 3: Cross multiply
    411,885.40x = 617,828.10 × 252,453.10
  4. Step 4: Simplify right side
    411,885.40x = 155,972,619,112.11
  5. Step 5: Solve for x
    x = 155,972,619,112.11/411,885.40
  6. Step 6: Final answer
    x = 378,679.65

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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.