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Finding the Fourth Proportional to 256,692.36, 384,717.60 and 123,536.88

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Solution

The fourth proportional to 256,692.36, 384,717.60 and 123,536.88 is: 185,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,692.36 : 384,717.60 = 123,536.88 : x
  2. Step 2: Convert to fraction form
    256,692.36/384,717.60 = 123,536.88/x
  3. Step 3: Cross multiply
    256,692.36x = 384,717.60 × 123,536.88
  4. Step 4: Simplify right side
    256,692.36x = 47,526,811,985.09
  5. Step 5: Solve for x
    x = 47,526,811,985.09/256,692.36
  6. Step 6: Final answer
    x = 185,150.86

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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.