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Finding the Fourth Proportional to 1,395,400, 2,093,412 and 508,936

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Solution

The fourth proportional to 1,395,400, 2,093,412 and 508,936 is: 763,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395,400 : 2,093,412 = 508,936 : x
  2. Step 2: Convert to fraction form
    1,395,400/2,093,412 = 508,936/x
  3. Step 3: Cross multiply
    1,395,400x = 2,093,412 × 508,936
  4. Step 4: Simplify right side
    1,395,400x = 1,065,412,729,632
  5. Step 5: Solve for x
    x = 1,065,412,729,632/1,395,400
  6. Step 6: Final answer
    x = 763,517.79

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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.