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Finding the Fourth Proportional to 256,261.73, 384,530.49 and 106,605.32

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Solution

The fourth proportional to 256,261.73, 384,530.49 and 106,605.32 is: 159,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,261.73 : 384,530.49 = 106,605.32 : x
  2. Step 2: Convert to fraction form
    256,261.73/384,530.49 = 106,605.32/x
  3. Step 3: Cross multiply
    256,261.73x = 384,530.49 × 106,605.32
  4. Step 4: Simplify right side
    256,261.73x = 40,992,994,013.55
  5. Step 5: Solve for x
    x = 40,992,994,013.55/256,261.73
  6. Step 6: Final answer
    x = 159,965.34

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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.