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Finding the Fourth Proportional to 411,883.40, 617,825.10 and 252,451.10

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Solution

The fourth proportional to 411,883.40, 617,825.10 and 252,451.10 is: 378,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,883.40 : 617,825.10 = 252,451.10 : x
  2. Step 2: Convert to fraction form
    411,883.40/617,825.10 = 252,451.10/x
  3. Step 3: Cross multiply
    411,883.40x = 617,825.10 × 252,451.10
  4. Step 4: Simplify right side
    411,883.40x = 155,970,626,102.61
  5. Step 5: Solve for x
    x = 155,970,626,102.61/411,883.40
  6. Step 6: Final answer
    x = 378,676.65

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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.