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Finding the Fourth Proportional to 938,124, 1,407,186 and 412,812

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Solution

The fourth proportional to 938,124, 1,407,186 and 412,812 is: 619,218

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,124 : 1,407,186 = 412,812 : x
  2. Step 2: Convert to fraction form
    938,124/1,407,186 = 412,812/x
  3. Step 3: Cross multiply
    938,124x = 1,407,186 × 412,812
  4. Step 4: Simplify right side
    938,124x = 580,903,267,032
  5. Step 5: Solve for x
    x = 580,903,267,032/938,124
  6. Step 6: Final answer
    x = 619,218

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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.