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Finding the Fourth Proportional to 256,722.49, 384,919.71 and 123,337.36

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Solution

The fourth proportional to 256,722.49, 384,919.71 and 123,337.36 is: 184,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,722.49 : 384,919.71 = 123,337.36 : x
  2. Step 2: Convert to fraction form
    256,722.49/384,919.71 = 123,337.36/x
  3. Step 3: Cross multiply
    256,722.49x = 384,919.71 × 123,337.36
  4. Step 4: Simplify right side
    256,722.49x = 47,474,980,843.37
  5. Step 5: Solve for x
    x = 47,474,980,843.37/256,722.49
  6. Step 6: Final answer
    x = 184,927.24

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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.