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Finding the Fourth Proportional to 256,876.94, 384,894.64 and 136,806.41

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Solution

The fourth proportional to 256,876.94, 384,894.64 and 136,806.41 is: 204,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,876.94 : 384,894.64 = 136,806.41 : x
  2. Step 2: Convert to fraction form
    256,876.94/384,894.64 = 136,806.41/x
  3. Step 3: Cross multiply
    256,876.94x = 384,894.64 × 136,806.41
  4. Step 4: Simplify right side
    256,876.94x = 52,656,054,362.14
  5. Step 5: Solve for x
    x = 52,656,054,362.14/256,876.94
  6. Step 6: Final answer
    x = 204,985.53

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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.