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Finding the Fourth Proportional to 312,201.76, 467,829.60 and 206,642.56

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Solution

The fourth proportional to 312,201.76, 467,829.60 and 206,642.56 is: 309,650.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,201.76 : 467,829.60 = 206,642.56 : x
  2. Step 2: Convert to fraction form
    312,201.76/467,829.60 = 206,642.56/x
  3. Step 3: Cross multiply
    312,201.76x = 467,829.60 × 206,642.56
  4. Step 4: Simplify right side
    312,201.76x = 96,673,506,187.78
  5. Step 5: Solve for x
    x = 96,673,506,187.78/312,201.76
  6. Step 6: Final answer
    x = 309,650.74

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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.