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Finding the Fourth Proportional to 278,817.84, 418,182.84 and 231,735.24

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Solution

The fourth proportional to 278,817.84, 418,182.84 and 231,735.24 is: 347,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,817.84 : 418,182.84 = 231,735.24 : x
  2. Step 2: Convert to fraction form
    278,817.84/418,182.84 = 231,735.24/x
  3. Step 3: Cross multiply
    278,817.84x = 418,182.84 × 231,735.24
  4. Step 4: Simplify right side
    278,817.84x = 96,907,700,791.28
  5. Step 5: Solve for x
    x = 96,907,700,791.28/278,817.84
  6. Step 6: Final answer
    x = 347,566.36

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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.