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Finding the Fourth Proportional to 312,654.48, 468,977.60 and 75,996.48

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Solution

The fourth proportional to 312,654.48, 468,977.60 and 75,996.48 is: 113,993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,654.48 : 468,977.60 = 75,996.48 : x
  2. Step 2: Convert to fraction form
    312,654.48/468,977.60 = 75,996.48/x
  3. Step 3: Cross multiply
    312,654.48x = 468,977.60 × 75,996.48
  4. Step 4: Simplify right side
    312,654.48x = 35,640,646,798.85
  5. Step 5: Solve for x
    x = 35,640,646,798.85/312,654.48
  6. Step 6: Final answer
    x = 113,993.72

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1.5x scale

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.