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Finding the Fourth Proportional to 625,408, 938,112 and 275,200

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Solution

The fourth proportional to 625,408, 938,112 and 275,200 is: 412,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,408 : 938,112 = 275,200 : x
  2. Step 2: Convert to fraction form
    625,408/938,112 = 275,200/x
  3. Step 3: Cross multiply
    625,408x = 938,112 × 275,200
  4. Step 4: Simplify right side
    625,408x = 258,168,422,400
  5. Step 5: Solve for x
    x = 258,168,422,400/625,408
  6. Step 6: Final answer
    x = 412,800

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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.