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Finding the Fourth Proportional to 256,509.60, 384,764.40 and 123,321.30

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Solution

The fourth proportional to 256,509.60, 384,764.40 and 123,321.30 is: 184,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,509.60 : 384,764.40 = 123,321.30 : x
  2. Step 2: Convert to fraction form
    256,509.60/384,764.40 = 123,321.30/x
  3. Step 3: Cross multiply
    256,509.60x = 384,764.40 × 123,321.30
  4. Step 4: Simplify right side
    256,509.60x = 47,449,646,001.72
  5. Step 5: Solve for x
    x = 47,449,646,001.72/256,509.60
  6. Step 6: Final answer
    x = 184,981.95

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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.