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Finding the Fourth Proportional to 278,903.34, 418,310.97 and 231,820.86

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Solution

The fourth proportional to 278,903.34, 418,310.97 and 231,820.86 is: 347,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,903.34 : 418,310.97 = 231,820.86 : x
  2. Step 2: Convert to fraction form
    278,903.34/418,310.97 = 231,820.86/x
  3. Step 3: Cross multiply
    278,903.34x = 418,310.97 × 231,820.86
  4. Step 4: Simplify right side
    278,903.34x = 96,973,208,812.83
  5. Step 5: Solve for x
    x = 96,973,208,812.83/278,903.34
  6. Step 6: Final answer
    x = 347,694.68

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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.