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Finding the Fourth Proportional to 287,863.60, 431,406.60 and 254,426.80

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Solution

The fourth proportional to 287,863.60, 431,406.60 and 254,426.80 is: 381,296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,863.60 : 431,406.60 = 254,426.80 : x
  2. Step 2: Convert to fraction form
    287,863.60/431,406.60 = 254,426.80/x
  3. Step 3: Cross multiply
    287,863.60x = 431,406.60 × 254,426.80
  4. Step 4: Simplify right side
    287,863.60x = 109,761,400,736.88
  5. Step 5: Solve for x
    x = 109,761,400,736.88/287,863.60
  6. Step 6: Final answer
    x = 381,296.56

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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.