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Finding the Fourth Proportional to 309,984, 464,976 and 76,512

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Solution

The fourth proportional to 309,984, 464,976 and 76,512 is: 114,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,984 : 464,976 = 76,512 : x
  2. Step 2: Convert to fraction form
    309,984/464,976 = 76,512/x
  3. Step 3: Cross multiply
    309,984x = 464,976 × 76,512
  4. Step 4: Simplify right side
    309,984x = 35,576,243,712
  5. Step 5: Solve for x
    x = 35,576,243,712/309,984
  6. Step 6: Final answer
    x = 114,768

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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.