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Finding the Fourth Proportional to 312,392.99, 468,591.03 and 75,735.68

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Solution

The fourth proportional to 312,392.99, 468,591.03 and 75,735.68 is: 113,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,392.99 : 468,591.03 = 75,735.68 : x
  2. Step 2: Convert to fraction form
    312,392.99/468,591.03 = 75,735.68/x
  3. Step 3: Cross multiply
    312,392.99x = 468,591.03 × 75,735.68
  4. Step 4: Simplify right side
    312,392.99x = 35,489,057,956.00
  5. Step 5: Solve for x
    x = 35,489,057,956.00/312,392.99
  6. Step 6: Final answer
    x = 113,603.89

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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.