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Finding the Fourth Proportional to 2,589,408, 3,884,112 and 816,480

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Solution

The fourth proportional to 2,589,408, 3,884,112 and 816,480 is: 1,224,720

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,408 : 3,884,112 = 816,480 : x
  2. Step 2: Convert to fraction form
    2,589,408/3,884,112 = 816,480/x
  3. Step 3: Cross multiply
    2,589,408x = 3,884,112 × 816,480
  4. Step 4: Simplify right side
    2,589,408x = 3,171,299,765,760
  5. Step 5: Solve for x
    x = 3,171,299,765,760/2,589,408
  6. Step 6: Final answer
    x = 1,224,720

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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.