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Finding the Fourth Proportional to 2,589,440, 3,884,160 and 816,512

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Solution

The fourth proportional to 2,589,440, 3,884,160 and 816,512 is: 1,224,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,440 : 3,884,160 = 816,512 : x
  2. Step 2: Convert to fraction form
    2,589,440/3,884,160 = 816,512/x
  3. Step 3: Cross multiply
    2,589,440x = 3,884,160 × 816,512
  4. Step 4: Simplify right side
    2,589,440x = 3,171,463,249,920
  5. Step 5: Solve for x
    x = 3,171,463,249,920/2,589,440
  6. Step 6: Final answer
    x = 1,224,768

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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.