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Finding the Fourth Proportional to 288,213.89, 396,854.69 and 261,180.54

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Solution

The fourth proportional to 288,213.89, 396,854.69 and 261,180.54 is: 359,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,213.89 : 396,854.69 = 261,180.54 : x
  2. Step 2: Convert to fraction form
    288,213.89/396,854.69 = 261,180.54/x
  3. Step 3: Cross multiply
    288,213.89x = 396,854.69 × 261,180.54
  4. Step 4: Simplify right side
    288,213.89x = 103,650,720,929.83
  5. Step 5: Solve for x
    x = 103,650,720,929.83/288,213.89
  6. Step 6: Final answer
    x = 359,631.25

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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.