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Finding the Fourth Proportional to 285,145.60, 428,409.60 and 254,732.80

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Solution

The fourth proportional to 285,145.60, 428,409.60 and 254,732.80 is: 382,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,145.60 : 428,409.60 = 254,732.80 : x
  2. Step 2: Convert to fraction form
    285,145.60/428,409.60 = 254,732.80/x
  3. Step 3: Cross multiply
    285,145.60x = 428,409.60 × 254,732.80
  4. Step 4: Simplify right side
    285,145.60x = 109,129,976,954.88
  5. Step 5: Solve for x
    x = 109,129,976,954.88/285,145.60
  6. Step 6: Final answer
    x = 382,716.68

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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.