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Finding the Fourth Proportional to 938,126, 1,407,189 and 412,814

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Solution

The fourth proportional to 938,126, 1,407,189 and 412,814 is: 619,221

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,126 : 1,407,189 = 412,814 : x
  2. Step 2: Convert to fraction form
    938,126/1,407,189 = 412,814/x
  3. Step 3: Cross multiply
    938,126x = 1,407,189 × 412,814
  4. Step 4: Simplify right side
    938,126x = 580,907,319,846
  5. Step 5: Solve for x
    x = 580,907,319,846/938,126
  6. Step 6: Final answer
    x = 619,221

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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.