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Finding the Fourth Proportional to 256,493.21, 384,721.56 and 78,981.71

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Solution

The fourth proportional to 256,493.21, 384,721.56 and 78,981.71 is: 118,466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,493.21 : 384,721.56 = 78,981.71 : x
  2. Step 2: Convert to fraction form
    256,493.21/384,721.56 = 78,981.71/x
  3. Step 3: Cross multiply
    256,493.21x = 384,721.56 × 78,981.71
  4. Step 4: Simplify right side
    256,493.21x = 30,385,964,759.06
  5. Step 5: Solve for x
    x = 30,385,964,759.06/256,493.21
  6. Step 6: Final answer
    x = 118,466.94

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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.