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Finding the Fourth Proportional to 256,705.58, 384,722.10 and 123,320.45

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Solution

The fourth proportional to 256,705.58, 384,722.10 and 123,320.45 is: 184,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,705.58 : 384,722.10 = 123,320.45 : x
  2. Step 2: Convert to fraction form
    256,705.58/384,722.10 = 123,320.45/x
  3. Step 3: Cross multiply
    256,705.58x = 384,722.10 × 123,320.45
  4. Step 4: Simplify right side
    256,705.58x = 47,444,100,573.33
  5. Step 5: Solve for x
    x = 47,444,100,573.33/256,705.58
  6. Step 6: Final answer
    x = 184,819.13

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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.