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Finding the Fourth Proportional to 744,876, 1,027,928.88 and 405,346.68

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Solution

The fourth proportional to 744,876, 1,027,928.88 and 405,346.68 is: 559,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,876 : 1,027,928.88 = 405,346.68 : x
  2. Step 2: Convert to fraction form
    744,876/1,027,928.88 = 405,346.68/x
  3. Step 3: Cross multiply
    744,876x = 1,027,928.88 × 405,346.68
  4. Step 4: Simplify right side
    744,876x = 416,667,558,784.12
  5. Step 5: Solve for x
    x = 416,667,558,784.12/744,876
  6. Step 6: Final answer
    x = 559,378.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.