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Finding the Fourth Proportional to 490,413, 731,327.91 and 485,928.75

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Solution

The fourth proportional to 490,413, 731,327.91 and 485,928.75 is: 724,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,413 : 731,327.91 = 485,928.75 : x
  2. Step 2: Convert to fraction form
    490,413/731,327.91 = 485,928.75/x
  3. Step 3: Cross multiply
    490,413x = 731,327.91 × 485,928.75
  4. Step 4: Simplify right side
    490,413x = 355,373,257,146.41
  5. Step 5: Solve for x
    x = 355,373,257,146.41/490,413
  6. Step 6: Final answer
    x = 724,640.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.