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Finding the Fourth Proportional to 384,576, 576,864 and 121,920

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Solution

The fourth proportional to 384,576, 576,864 and 121,920 is: 182,880

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,576 : 576,864 = 121,920 : x
  2. Step 2: Convert to fraction form
    384,576/576,864 = 121,920/x
  3. Step 3: Cross multiply
    384,576x = 576,864 × 121,920
  4. Step 4: Simplify right side
    384,576x = 70,331,258,880
  5. Step 5: Solve for x
    x = 70,331,258,880/384,576
  6. Step 6: Final answer
    x = 182,880

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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.